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Finding the Fourth Proportional to 304,347.66, 456,565.23 and 94,002

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Solution

The fourth proportional to 304,347.66, 456,565.23 and 94,002 is: 141,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,347.66 : 456,565.23 = 94,002 : x
  2. Step 2: Convert to fraction form
    304,347.66/456,565.23 = 94,002/x
  3. Step 3: Cross multiply
    304,347.66x = 456,565.23 × 94,002
  4. Step 4: Simplify right side
    304,347.66x = 42,918,044,750.46
  5. Step 5: Solve for x
    x = 42,918,044,750.46/304,347.66
  6. Step 6: Final answer
    x = 141,016.51

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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.