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Finding the Fourth Proportional to 552,705.60, 829,058.40 and 412,737.60

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Solution

The fourth proportional to 552,705.60, 829,058.40 and 412,737.60 is: 619,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,705.60 : 829,058.40 = 412,737.60 : x
  2. Step 2: Convert to fraction form
    552,705.60/829,058.40 = 412,737.60/x
  3. Step 3: Cross multiply
    552,705.60x = 829,058.40 × 412,737.60
  4. Step 4: Simplify right side
    552,705.60x = 342,183,574,275.84
  5. Step 5: Solve for x
    x = 342,183,574,275.84/552,705.60
  6. Step 6: Final answer
    x = 619,106.40

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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.