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Finding the Fourth Proportional to 488,045.94, 732,047.34 and 133,060

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Solution

The fourth proportional to 488,045.94, 732,047.34 and 133,060 is: 199,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,045.94 : 732,047.34 = 133,060 : x
  2. Step 2: Convert to fraction form
    488,045.94/732,047.34 = 133,060/x
  3. Step 3: Cross multiply
    488,045.94x = 732,047.34 × 133,060
  4. Step 4: Simplify right side
    488,045.94x = 97,406,219,060.40
  5. Step 5: Solve for x
    x = 97,406,219,060.40/488,045.94
  6. Step 6: Final answer
    x = 199,584.12

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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.