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Finding the Fourth Proportional to 434,038.80, 651,058.20 and 149,728.80

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Solution

The fourth proportional to 434,038.80, 651,058.20 and 149,728.80 is: 224,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,038.80 : 651,058.20 = 149,728.80 : x
  2. Step 2: Convert to fraction form
    434,038.80/651,058.20 = 149,728.80/x
  3. Step 3: Cross multiply
    434,038.80x = 651,058.20 × 149,728.80
  4. Step 4: Simplify right side
    434,038.80x = 97,482,163,016.16
  5. Step 5: Solve for x
    x = 97,482,163,016.16/434,038.80
  6. Step 6: Final answer
    x = 224,593.20

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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.