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Finding the Fourth Proportional to 651,432, 898,871.16 and 409,543.20

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Solution

The fourth proportional to 651,432, 898,871.16 and 409,543.20 is: 565,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,432 : 898,871.16 = 409,543.20 : x
  2. Step 2: Convert to fraction form
    651,432/898,871.16 = 409,543.20/x
  3. Step 3: Cross multiply
    651,432x = 898,871.16 × 409,543.20
  4. Step 4: Simplify right side
    651,432x = 368,126,571,254.11
  5. Step 5: Solve for x
    x = 368,126,571,254.11/651,432
  6. Step 6: Final answer
    x = 565,103.60

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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.