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Finding the Fourth Proportional to 704,517.31, 972,239.40 and 414,050.89

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Solution

The fourth proportional to 704,517.31, 972,239.40 and 414,050.89 is: 571,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,517.31 : 972,239.40 = 414,050.89 : x
  2. Step 2: Convert to fraction form
    704,517.31/972,239.40 = 414,050.89/x
  3. Step 3: Cross multiply
    704,517.31x = 972,239.40 × 414,050.89
  4. Step 4: Simplify right side
    704,517.31x = 402,556,588,863.07
  5. Step 5: Solve for x
    x = 402,556,588,863.07/704,517.31
  6. Step 6: Final answer
    x = 571,393.47

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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.