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Finding the Fourth Proportional to 616,095.30, 924,175.98 and 195,403.98

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Solution

The fourth proportional to 616,095.30, 924,175.98 and 195,403.98 is: 293,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,095.30 : 924,175.98 = 195,403.98 : x
  2. Step 2: Convert to fraction form
    616,095.30/924,175.98 = 195,403.98/x
  3. Step 3: Cross multiply
    616,095.30x = 924,175.98 × 195,403.98
  4. Step 4: Simplify right side
    616,095.30x = 180,587,664,712.40
  5. Step 5: Solve for x
    x = 180,587,664,712.40/616,095.30
  6. Step 6: Final answer
    x = 293,116.45

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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.