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Finding the Fourth Proportional to 402,565.35, 603,847.64 and 103,045.46

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Solution

The fourth proportional to 402,565.35, 603,847.64 and 103,045.46 is: 154,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,565.35 : 603,847.64 = 103,045.46 : x
  2. Step 2: Convert to fraction form
    402,565.35/603,847.64 = 103,045.46/x
  3. Step 3: Cross multiply
    402,565.35x = 603,847.64 × 103,045.46
  4. Step 4: Simplify right side
    402,565.35x = 62,223,754,299.25
  5. Step 5: Solve for x
    x = 62,223,754,299.25/402,565.35
  6. Step 6: Final answer
    x = 154,568.08

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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.