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Finding the Fourth Proportional to 337,465.63, 506,338.17 and 147,828.03

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Solution

The fourth proportional to 337,465.63, 506,338.17 and 147,828.03 is: 221,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,465.63 : 506,338.17 = 147,828.03 : x
  2. Step 2: Convert to fraction form
    337,465.63/506,338.17 = 147,828.03/x
  3. Step 3: Cross multiply
    337,465.63x = 506,338.17 × 147,828.03
  4. Step 4: Simplify right side
    337,465.63x = 74,850,974,184.91
  5. Step 5: Solve for x
    x = 74,850,974,184.91/337,465.63
  6. Step 6: Final answer
    x = 221,803.25

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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.