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Finding the Fourth Proportional to 458,210.90, 686,733.15 and 408,055.70

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Solution

The fourth proportional to 458,210.90, 686,733.15 and 408,055.70 is: 611,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,210.90 : 686,733.15 = 408,055.70 : x
  2. Step 2: Convert to fraction form
    458,210.90/686,733.15 = 408,055.70/x
  3. Step 3: Cross multiply
    458,210.90x = 686,733.15 × 408,055.70
  4. Step 4: Simplify right side
    458,210.90x = 280,225,376,236.46
  5. Step 5: Solve for x
    x = 280,225,376,236.46/458,210.90
  6. Step 6: Final answer
    x = 611,564.19

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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.