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Finding the Fourth Proportional to 435,720.66, 653,613.59 and 120,174.63

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Solution

The fourth proportional to 435,720.66, 653,613.59 and 120,174.63 is: 180,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,720.66 : 653,613.59 = 120,174.63 : x
  2. Step 2: Convert to fraction form
    435,720.66/653,613.59 = 120,174.63/x
  3. Step 3: Cross multiply
    435,720.66x = 653,613.59 × 120,174.63
  4. Step 4: Simplify right side
    435,720.66x = 78,547,771,341.22
  5. Step 5: Solve for x
    x = 78,547,771,341.22/435,720.66
  6. Step 6: Final answer
    x = 180,270.94

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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.