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Finding the Fourth Proportional to 657,442.56, 985,574.16 and 236,424

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Solution

The fourth proportional to 657,442.56, 985,574.16 and 236,424 is: 354,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,442.56 : 985,574.16 = 236,424 : x
  2. Step 2: Convert to fraction form
    657,442.56/985,574.16 = 236,424/x
  3. Step 3: Cross multiply
    657,442.56x = 985,574.16 × 236,424
  4. Step 4: Simplify right side
    657,442.56x = 233,013,385,203.84
  5. Step 5: Solve for x
    x = 233,013,385,203.84/657,442.56
  6. Step 6: Final answer
    x = 354,423.94

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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.