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Finding the Fourth Proportional to 459,076.10, 688,614.15 and 459,076.10

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Solution

The fourth proportional to 459,076.10, 688,614.15 and 459,076.10 is: 688,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,076.10 : 688,614.15 = 459,076.10 : x
  2. Step 2: Convert to fraction form
    459,076.10/688,614.15 = 459,076.10/x
  3. Step 3: Cross multiply
    459,076.10x = 688,614.15 × 459,076.10
  4. Step 4: Simplify right side
    459,076.10x = 316,126,298,386.82
  5. Step 5: Solve for x
    x = 316,126,298,386.82/459,076.10
  6. Step 6: Final answer
    x = 688,614.15

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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.