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Finding the Fourth Proportional to 384,001.32, 575,980.38 and 117,761.10

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Solution

The fourth proportional to 384,001.32, 575,980.38 and 117,761.10 is: 176,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,001.32 : 575,980.38 = 117,761.10 : x
  2. Step 2: Convert to fraction form
    384,001.32/575,980.38 = 117,761.10/x
  3. Step 3: Cross multiply
    384,001.32x = 575,980.38 × 117,761.10
  4. Step 4: Simplify right side
    384,001.32x = 67,828,083,127.22
  5. Step 5: Solve for x
    x = 67,828,083,127.22/384,001.32
  6. Step 6: Final answer
    x = 176,635.03

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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.