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Finding the Fourth Proportional to 576,462.34, 866,005.70 and 417,030.04

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Solution

The fourth proportional to 576,462.34, 866,005.70 and 417,030.04 is: 626,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,462.34 : 866,005.70 = 417,030.04 : x
  2. Step 2: Convert to fraction form
    576,462.34/866,005.70 = 417,030.04/x
  3. Step 3: Cross multiply
    576,462.34x = 866,005.70 × 417,030.04
  4. Step 4: Simplify right side
    576,462.34x = 361,150,391,711.23
  5. Step 5: Solve for x
    x = 361,150,391,711.23/576,462.34
  6. Step 6: Final answer
    x = 626,494.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.