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Finding the Fourth Proportional to 602,294, 902,236.48 and 362,275.40

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Solution

The fourth proportional to 602,294, 902,236.48 and 362,275.40 is: 542,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,294 : 902,236.48 = 362,275.40 : x
  2. Step 2: Convert to fraction form
    602,294/902,236.48 = 362,275.40/x
  3. Step 3: Cross multiply
    602,294x = 902,236.48 × 362,275.40
  4. Step 4: Simplify right side
    602,294x = 326,858,081,686.59
  5. Step 5: Solve for x
    x = 326,858,081,686.59/602,294
  6. Step 6: Final answer
    x = 542,688.59

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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.