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Finding the Fourth Proportional to 288,841.14, 433,332.72 and 99,304.38

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Solution

The fourth proportional to 288,841.14, 433,332.72 and 99,304.38 is: 148,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,841.14 : 433,332.72 = 99,304.38 : x
  2. Step 2: Convert to fraction form
    288,841.14/433,332.72 = 99,304.38/x
  3. Step 3: Cross multiply
    288,841.14x = 433,332.72 × 99,304.38
  4. Step 4: Simplify right side
    288,841.14x = 43,031,837,093.31
  5. Step 5: Solve for x
    x = 43,031,837,093.31/288,841.14
  6. Step 6: Final answer
    x = 148,980.98

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1.5x scale

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.