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Finding the Fourth Proportional to 488,295.06, 731,707.02 and 435,082.32

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Solution

The fourth proportional to 488,295.06, 731,707.02 and 435,082.32 is: 651,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,295.06 : 731,707.02 = 435,082.32 : x
  2. Step 2: Convert to fraction form
    488,295.06/731,707.02 = 435,082.32/x
  3. Step 3: Cross multiply
    488,295.06x = 731,707.02 × 435,082.32
  4. Step 4: Simplify right side
    488,295.06x = 318,352,787,821.89
  5. Step 5: Solve for x
    x = 318,352,787,821.89/488,295.06
  6. Step 6: Final answer
    x = 651,968.07

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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.