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Finding the Fourth Proportional to 375,929.32, 564,041.40 and 165,419.52

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Solution

The fourth proportional to 375,929.32, 564,041.40 and 165,419.52 is: 248,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,929.32 : 564,041.40 = 165,419.52 : x
  2. Step 2: Convert to fraction form
    375,929.32/564,041.40 = 165,419.52/x
  3. Step 3: Cross multiply
    375,929.32x = 564,041.40 × 165,419.52
  4. Step 4: Simplify right side
    375,929.32x = 93,303,457,648.13
  5. Step 5: Solve for x
    x = 93,303,457,648.13/375,929.32
  6. Step 6: Final answer
    x = 248,194.15

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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.