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Finding the Fourth Proportional to 1,746,041.02, 2,409,519.15 and 971,658.61

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Solution

The fourth proportional to 1,746,041.02, 2,409,519.15 and 971,658.61 is: 1,340,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,041.02 : 2,409,519.15 = 971,658.61 : x
  2. Step 2: Convert to fraction form
    1,746,041.02/2,409,519.15 = 971,658.61/x
  3. Step 3: Cross multiply
    1,746,041.02x = 2,409,519.15 × 971,658.61
  4. Step 4: Simplify right side
    1,746,041.02x = 2,341,230,028,057.38
  5. Step 5: Solve for x
    x = 2,341,230,028,057.38/1,746,041.02
  6. Step 6: Final answer
    x = 1,340,879.17

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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.