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Finding the Fourth Proportional to 704,663.42, 972,425.12 and 414,307.71

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Solution

The fourth proportional to 704,663.42, 972,425.12 and 414,307.71 is: 571,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,663.42 : 972,425.12 = 414,307.71 : x
  2. Step 2: Convert to fraction form
    704,663.42/972,425.12 = 414,307.71/x
  3. Step 3: Cross multiply
    704,663.42x = 972,425.12 × 414,307.71
  4. Step 4: Simplify right side
    704,663.42x = 402,883,222,542.14
  5. Step 5: Solve for x
    x = 402,883,222,542.14/704,663.42
  6. Step 6: Final answer
    x = 571,738.53

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.