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Finding the Fourth Proportional to 657,905.80, 984,671.70 and 477,478.30

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Solution

The fourth proportional to 657,905.80, 984,671.70 and 477,478.30 is: 714,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,905.80 : 984,671.70 = 477,478.30 : x
  2. Step 2: Convert to fraction form
    657,905.80/984,671.70 = 477,478.30/x
  3. Step 3: Cross multiply
    657,905.80x = 984,671.70 × 477,478.30
  4. Step 4: Simplify right side
    657,905.80x = 470,159,369,374.11
  5. Step 5: Solve for x
    x = 470,159,369,374.11/657,905.80
  6. Step 6: Final answer
    x = 714,630.22

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1.5x scale

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.