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Finding the Fourth Proportional to 390,829.60, 586,244.40 and 388,064.80

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Solution

The fourth proportional to 390,829.60, 586,244.40 and 388,064.80 is: 582,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,829.60 : 586,244.40 = 388,064.80 : x
  2. Step 2: Convert to fraction form
    390,829.60/586,244.40 = 388,064.80/x
  3. Step 3: Cross multiply
    390,829.60x = 586,244.40 × 388,064.80
  4. Step 4: Simplify right side
    390,829.60x = 227,500,815,837.12
  5. Step 5: Solve for x
    x = 227,500,815,837.12/390,829.60
  6. Step 6: Final answer
    x = 582,097.20

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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.