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Finding the Fourth Proportional to 616,825.94, 924,868.53 and 256,563.45

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Solution

The fourth proportional to 616,825.94, 924,868.53 and 256,563.45 is: 384,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,825.94 : 924,868.53 = 256,563.45 : x
  2. Step 2: Convert to fraction form
    616,825.94/924,868.53 = 256,563.45/x
  3. Step 3: Cross multiply
    616,825.94x = 924,868.53 × 256,563.45
  4. Step 4: Simplify right side
    616,825.94x = 237,287,460,853.23
  5. Step 5: Solve for x
    x = 237,287,460,853.23/616,825.94
  6. Step 6: Final answer
    x = 384,691.12

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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.