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Finding the Fourth Proportional to 406,875.20, 610,312.80 and 384,065.60

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Solution

The fourth proportional to 406,875.20, 610,312.80 and 384,065.60 is: 576,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,875.20 : 610,312.80 = 384,065.60 : x
  2. Step 2: Convert to fraction form
    406,875.20/610,312.80 = 384,065.60/x
  3. Step 3: Cross multiply
    406,875.20x = 610,312.80 × 384,065.60
  4. Step 4: Simplify right side
    406,875.20x = 234,400,151,719.68
  5. Step 5: Solve for x
    x = 234,400,151,719.68/406,875.20
  6. Step 6: Final answer
    x = 576,098.40

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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.