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Finding the Fourth Proportional to 576,913.42, 865,345.02 and 177,594.76

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Solution

The fourth proportional to 576,913.42, 865,345.02 and 177,594.76 is: 266,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,913.42 : 865,345.02 = 177,594.76 : x
  2. Step 2: Convert to fraction form
    576,913.42/865,345.02 = 177,594.76/x
  3. Step 3: Cross multiply
    576,913.42x = 865,345.02 × 177,594.76
  4. Step 4: Simplify right side
    576,913.42x = 153,680,741,144.10
  5. Step 5: Solve for x
    x = 153,680,741,144.10/576,913.42
  6. Step 6: Final answer
    x = 266,384.41

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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.