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Finding the Fourth Proportional to 602,176.50, 831,133.17 and 360,513.02

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Solution

The fourth proportional to 602,176.50, 831,133.17 and 360,513.02 is: 497,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,176.50 : 831,133.17 = 360,513.02 : x
  2. Step 2: Convert to fraction form
    602,176.50/831,133.17 = 360,513.02/x
  3. Step 3: Cross multiply
    602,176.50x = 831,133.17 × 360,513.02
  4. Step 4: Simplify right side
    602,176.50x = 299,634,329,138.87
  5. Step 5: Solve for x
    x = 299,634,329,138.87/602,176.50
  6. Step 6: Final answer
    x = 497,585.56

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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.