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Finding the Fourth Proportional to 288,542.76, 432,439.08 and 117,564.88

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Solution

The fourth proportional to 288,542.76, 432,439.08 and 117,564.88 is: 176,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,542.76 : 432,439.08 = 117,564.88 : x
  2. Step 2: Convert to fraction form
    288,542.76/432,439.08 = 117,564.88/x
  3. Step 3: Cross multiply
    288,542.76x = 432,439.08 × 117,564.88
  4. Step 4: Simplify right side
    288,542.76x = 50,839,648,547.51
  5. Step 5: Solve for x
    x = 50,839,648,547.51/288,542.76
  6. Step 6: Final answer
    x = 176,194.50

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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.