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Finding the Fourth Proportional to 971,566.70, 1,456,831.65 and 409,966.70

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Solution

The fourth proportional to 971,566.70, 1,456,831.65 and 409,966.70 is: 614,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,566.70 : 1,456,831.65 = 409,966.70 : x
  2. Step 2: Convert to fraction form
    971,566.70/1,456,831.65 = 409,966.70/x
  3. Step 3: Cross multiply
    971,566.70x = 1,456,831.65 × 409,966.70
  4. Step 4: Simplify right side
    971,566.70x = 597,252,464,006.06
  5. Step 5: Solve for x
    x = 597,252,464,006.06/971,566.70
  6. Step 6: Final answer
    x = 614,731.30

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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.