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Finding the Fourth Proportional to 442,095.62, 610,165.80 and 260,852.45

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Solution

The fourth proportional to 442,095.62, 610,165.80 and 260,852.45 is: 360,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,095.62 : 610,165.80 = 260,852.45 : x
  2. Step 2: Convert to fraction form
    442,095.62/610,165.80 = 260,852.45/x
  3. Step 3: Cross multiply
    442,095.62x = 610,165.80 × 260,852.45
  4. Step 4: Simplify right side
    442,095.62x = 159,163,240,785.38
  5. Step 5: Solve for x
    x = 159,163,240,785.38/442,095.62
  6. Step 6: Final answer
    x = 360,019.95

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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.