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Finding the Fourth Proportional to 410,329.84, 566,349.65 and 240,618.64

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Solution

The fourth proportional to 410,329.84, 566,349.65 and 240,618.64 is: 332,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,329.84 : 566,349.65 = 240,618.64 : x
  2. Step 2: Convert to fraction form
    410,329.84/566,349.65 = 240,618.64/x
  3. Step 3: Cross multiply
    410,329.84x = 566,349.65 × 240,618.64
  4. Step 4: Simplify right side
    410,329.84x = 136,274,282,547.48
  5. Step 5: Solve for x
    x = 136,274,282,547.48/410,329.84
  6. Step 6: Final answer
    x = 332,109.12

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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.