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Finding the Fourth Proportional to 514,606.92, 771,962.76 and 177,603.72

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Solution

The fourth proportional to 514,606.92, 771,962.76 and 177,603.72 is: 266,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,606.92 : 771,962.76 = 177,603.72 : x
  2. Step 2: Convert to fraction form
    514,606.92/771,962.76 = 177,603.72/x
  3. Step 3: Cross multiply
    514,606.92x = 771,962.76 × 177,603.72
  4. Step 4: Simplify right side
    514,606.92x = 137,103,457,877.47
  5. Step 5: Solve for x
    x = 137,103,457,877.47/514,606.92
  6. Step 6: Final answer
    x = 266,423.66

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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.