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Finding the Fourth Proportional to 532,068.30, 798,102.45 and 465,638.19

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Solution

The fourth proportional to 532,068.30, 798,102.45 and 465,638.19 is: 698,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,068.30 : 798,102.45 = 465,638.19 : x
  2. Step 2: Convert to fraction form
    532,068.30/798,102.45 = 465,638.19/x
  3. Step 3: Cross multiply
    532,068.30x = 798,102.45 × 465,638.19
  4. Step 4: Simplify right side
    532,068.30x = 371,626,980,252.57
  5. Step 5: Solve for x
    x = 371,626,980,252.57/532,068.30
  6. Step 6: Final answer
    x = 698,457.29

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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.