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Finding the Fourth Proportional to 616,085.30, 924,160.98 and 195,393.98

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Solution

The fourth proportional to 616,085.30, 924,160.98 and 195,393.98 is: 293,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,085.30 : 924,160.98 = 195,393.98 : x
  2. Step 2: Convert to fraction form
    616,085.30/924,160.98 = 195,393.98/x
  3. Step 3: Cross multiply
    616,085.30x = 924,160.98 × 195,393.98
  4. Step 4: Simplify right side
    616,085.30x = 180,575,492,042.90
  5. Step 5: Solve for x
    x = 180,575,492,042.90/616,085.30
  6. Step 6: Final answer
    x = 293,101.45

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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.