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Finding the Fourth Proportional to 706,510.20, 974,490.06 and 464,715.48

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Solution

The fourth proportional to 706,510.20, 974,490.06 and 464,715.48 is: 640,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,510.20 : 974,490.06 = 464,715.48 : x
  2. Step 2: Convert to fraction form
    706,510.20/974,490.06 = 464,715.48/x
  3. Step 3: Cross multiply
    706,510.20x = 974,490.06 × 464,715.48
  4. Step 4: Simplify right side
    706,510.20x = 452,860,615,988.13
  5. Step 5: Solve for x
    x = 452,860,615,988.13/706,510.20
  6. Step 6: Final answer
    x = 640,982.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.