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Finding the Fourth Proportional to 442,043.87, 610,094.23 and 260,800.70

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Solution

The fourth proportional to 442,043.87, 610,094.23 and 260,800.70 is: 359,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,043.87 : 610,094.23 = 260,800.70 : x
  2. Step 2: Convert to fraction form
    442,043.87/610,094.23 = 260,800.70/x
  3. Step 3: Cross multiply
    442,043.87x = 610,094.23 × 260,800.70
  4. Step 4: Simplify right side
    442,043.87x = 159,112,998,547.49
  5. Step 5: Solve for x
    x = 159,112,998,547.49/442,043.87
  6. Step 6: Final answer
    x = 359,948.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.