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Finding the Fourth Proportional to 465,477.90, 698,562.45 and 185,196.30

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Solution

The fourth proportional to 465,477.90, 698,562.45 and 185,196.30 is: 277,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,477.90 : 698,562.45 = 185,196.30 : x
  2. Step 2: Convert to fraction form
    465,477.90/698,562.45 = 185,196.30/x
  3. Step 3: Cross multiply
    465,477.90x = 698,562.45 × 185,196.30
  4. Step 4: Simplify right side
    465,477.90x = 129,371,181,058.94
  5. Step 5: Solve for x
    x = 129,371,181,058.94/465,477.90
  6. Step 6: Final answer
    x = 277,931.95

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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.