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Finding the Fourth Proportional to 288,620.32, 432,973.68 and 101,598.88

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Solution

The fourth proportional to 288,620.32, 432,973.68 and 101,598.88 is: 152,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,620.32 : 432,973.68 = 101,598.88 : x
  2. Step 2: Convert to fraction form
    288,620.32/432,973.68 = 101,598.88/x
  3. Step 3: Cross multiply
    288,620.32x = 432,973.68 × 101,598.88
  4. Step 4: Simplify right side
    288,620.32x = 43,989,640,957.48
  5. Step 5: Solve for x
    x = 43,989,640,957.48/288,620.32
  6. Step 6: Final answer
    x = 152,413.53

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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.