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Finding the Fourth Proportional to 459,419.40, 687,746.70 and 404,123.40

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Solution

The fourth proportional to 459,419.40, 687,746.70 and 404,123.40 is: 604,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,419.40 : 687,746.70 = 404,123.40 : x
  2. Step 2: Convert to fraction form
    459,419.40/687,746.70 = 404,123.40/x
  3. Step 3: Cross multiply
    459,419.40x = 687,746.70 × 404,123.40
  4. Step 4: Simplify right side
    459,419.40x = 277,934,534,742.78
  5. Step 5: Solve for x
    x = 277,934,534,742.78/459,419.40
  6. Step 6: Final answer
    x = 604,969.09

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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.