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Finding the Fourth Proportional to 502,152.35, 755,943.29 and 457,460.93

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Solution

The fourth proportional to 502,152.35, 755,943.29 and 457,460.93 is: 688,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,152.35 : 755,943.29 = 457,460.93 : x
  2. Step 2: Convert to fraction form
    502,152.35/755,943.29 = 457,460.93/x
  3. Step 3: Cross multiply
    502,152.35x = 755,943.29 × 457,460.93
  4. Step 4: Simplify right side
    502,152.35x = 345,814,520,470.66
  5. Step 5: Solve for x
    x = 345,814,520,470.66/502,152.35
  6. Step 6: Final answer
    x = 688,664.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.