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Finding the Fourth Proportional to 448,000.47, 672,033.51 and 178,234.02

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Solution

The fourth proportional to 448,000.47, 672,033.51 and 178,234.02 is: 267,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,000.47 : 672,033.51 = 178,234.02 : x
  2. Step 2: Convert to fraction form
    448,000.47/672,033.51 = 178,234.02/x
  3. Step 3: Cross multiply
    448,000.47x = 672,033.51 × 178,234.02
  4. Step 4: Simplify right side
    448,000.47x = 119,779,234,062.01
  5. Step 5: Solve for x
    x = 119,779,234,062.01/448,000.47
  6. Step 6: Final answer
    x = 267,364.08

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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.