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Finding the Fourth Proportional to 640,877.60, 960,164.40 and 307,719.20

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Solution

The fourth proportional to 640,877.60, 960,164.40 and 307,719.20 is: 461,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,877.60 : 960,164.40 = 307,719.20 : x
  2. Step 2: Convert to fraction form
    640,877.60/960,164.40 = 307,719.20/x
  3. Step 3: Cross multiply
    640,877.60x = 960,164.40 × 307,719.20
  4. Step 4: Simplify right side
    640,877.60x = 295,461,021,036.48
  5. Step 5: Solve for x
    x = 295,461,021,036.48/640,877.60
  6. Step 6: Final answer
    x = 461,025.66

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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.