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Finding the Fourth Proportional to 385,416.40, 577,390.20 and 207,864.40

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Solution

The fourth proportional to 385,416.40, 577,390.20 and 207,864.40 is: 311,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,416.40 : 577,390.20 = 207,864.40 : x
  2. Step 2: Convert to fraction form
    385,416.40/577,390.20 = 207,864.40/x
  3. Step 3: Cross multiply
    385,416.40x = 577,390.20 × 207,864.40
  4. Step 4: Simplify right side
    385,416.40x = 120,018,867,488.88
  5. Step 5: Solve for x
    x = 120,018,867,488.88/385,416.40
  6. Step 6: Final answer
    x = 311,400.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.