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Finding the Fourth Proportional to 601,545.84, 830,096.55 and 343,452.30

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Solution

The fourth proportional to 601,545.84, 830,096.55 and 343,452.30 is: 473,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,545.84 : 830,096.55 = 343,452.30 : x
  2. Step 2: Convert to fraction form
    601,545.84/830,096.55 = 343,452.30/x
  3. Step 3: Cross multiply
    601,545.84x = 830,096.55 × 343,452.30
  4. Step 4: Simplify right side
    601,545.84x = 285,098,569,319.57
  5. Step 5: Solve for x
    x = 285,098,569,319.57/601,545.84
  6. Step 6: Final answer
    x = 473,943.21

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1.5x scale

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.