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Finding the Fourth Proportional to 384,807.10, 577,210.65 and 314,823.10

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Solution

The fourth proportional to 384,807.10, 577,210.65 and 314,823.10 is: 472,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,807.10 : 577,210.65 = 314,823.10 : x
  2. Step 2: Convert to fraction form
    384,807.10/577,210.65 = 314,823.10/x
  3. Step 3: Cross multiply
    384,807.10x = 577,210.65 × 314,823.10
  4. Step 4: Simplify right side
    384,807.10x = 181,719,246,186.02
  5. Step 5: Solve for x
    x = 181,719,246,186.02/384,807.10
  6. Step 6: Final answer
    x = 472,234.65

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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.