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Finding the Fourth Proportional to 402,863.10, 604,574.10 and 303,233.10

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Solution

The fourth proportional to 402,863.10, 604,574.10 and 303,233.10 is: 455,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,863.10 : 604,574.10 = 303,233.10 : x
  2. Step 2: Convert to fraction form
    402,863.10/604,574.10 = 303,233.10/x
  3. Step 3: Cross multiply
    402,863.10x = 604,574.10 × 303,233.10
  4. Step 4: Simplify right side
    402,863.10x = 183,326,878,522.71
  5. Step 5: Solve for x
    x = 183,326,878,522.71/402,863.10
  6. Step 6: Final answer
    x = 455,059.99

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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.