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Finding the Fourth Proportional to 702,047.61, 968,518.02 and 411,511.89

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Solution

The fourth proportional to 702,047.61, 968,518.02 and 411,511.89 is: 567,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,047.61 : 968,518.02 = 411,511.89 : x
  2. Step 2: Convert to fraction form
    702,047.61/968,518.02 = 411,511.89/x
  3. Step 3: Cross multiply
    702,047.61x = 968,518.02 × 411,511.89
  4. Step 4: Simplify right side
    702,047.61x = 398,556,680,909.26
  5. Step 5: Solve for x
    x = 398,556,680,909.26/702,047.61
  6. Step 6: Final answer
    x = 567,706.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.