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Finding the Fourth Proportional to 516,565.26, 772,581.63 and 460,037.76

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Solution

The fourth proportional to 516,565.26, 772,581.63 and 460,037.76 is: 688,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,565.26 : 772,581.63 = 460,037.76 : x
  2. Step 2: Convert to fraction form
    516,565.26/772,581.63 = 460,037.76/x
  3. Step 3: Cross multiply
    516,565.26x = 772,581.63 × 460,037.76
  4. Step 4: Simplify right side
    516,565.26x = 355,416,722,482.35
  5. Step 5: Solve for x
    x = 355,416,722,482.35/516,565.26
  6. Step 6: Final answer
    x = 688,038.38

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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.