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Finding the Fourth Proportional to 585,025, 877,537.51 and 141,793

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Solution

The fourth proportional to 585,025, 877,537.51 and 141,793 is: 212,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,025 : 877,537.51 = 141,793 : x
  2. Step 2: Convert to fraction form
    585,025/877,537.51 = 141,793/x
  3. Step 3: Cross multiply
    585,025x = 877,537.51 × 141,793
  4. Step 4: Simplify right side
    585,025x = 124,428,676,155.43
  5. Step 5: Solve for x
    x = 124,428,676,155.43/585,025
  6. Step 6: Final answer
    x = 212,689.50

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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.