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Finding the Fourth Proportional to 282,036.60, 423,746.10 and 212,052.60

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Solution

The fourth proportional to 282,036.60, 423,746.10 and 212,052.60 is: 318,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,036.60 : 423,746.10 = 212,052.60 : x
  2. Step 2: Convert to fraction form
    282,036.60/423,746.10 = 212,052.60/x
  3. Step 3: Cross multiply
    282,036.60x = 423,746.10 × 212,052.60
  4. Step 4: Simplify right side
    282,036.60x = 89,856,462,244.86
  5. Step 5: Solve for x
    x = 89,856,462,244.86/282,036.60
  6. Step 6: Final answer
    x = 318,598.59

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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.