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Finding the Fourth Proportional to 540,695.52, 746,148 and 298,988.16

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Solution

The fourth proportional to 540,695.52, 746,148 and 298,988.16 is: 412,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,695.52 : 746,148 = 298,988.16 : x
  2. Step 2: Convert to fraction form
    540,695.52/746,148 = 298,988.16/x
  3. Step 3: Cross multiply
    540,695.52x = 746,148 × 298,988.16
  4. Step 4: Simplify right side
    540,695.52x = 223,089,417,607.68
  5. Step 5: Solve for x
    x = 223,089,417,607.68/540,695.52
  6. Step 6: Final answer
    x = 412,597.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.