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Finding the Fourth Proportional to 486,053.60, 729,080.40 and 458,497.40

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Solution

The fourth proportional to 486,053.60, 729,080.40 and 458,497.40 is: 687,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,053.60 : 729,080.40 = 458,497.40 : x
  2. Step 2: Convert to fraction form
    486,053.60/729,080.40 = 458,497.40/x
  3. Step 3: Cross multiply
    486,053.60x = 729,080.40 × 458,497.40
  4. Step 4: Simplify right side
    486,053.60x = 334,281,467,790.96
  5. Step 5: Solve for x
    x = 334,281,467,790.96/486,053.60
  6. Step 6: Final answer
    x = 687,746.10

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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.