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Finding the Fourth Proportional to 704,716.61, 972,530.55 and 414,274.91

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Solution

The fourth proportional to 704,716.61, 972,530.55 and 414,274.91 is: 571,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,716.61 : 972,530.55 = 414,274.91 : x
  2. Step 2: Convert to fraction form
    704,716.61/972,530.55 = 414,274.91/x
  3. Step 3: Cross multiply
    704,716.61x = 972,530.55 × 414,274.91
  4. Step 4: Simplify right side
    704,716.61x = 402,895,001,210.85
  5. Step 5: Solve for x
    x = 402,895,001,210.85/704,716.61
  6. Step 6: Final answer
    x = 571,712.09

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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.