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Finding the Fourth Proportional to 413,349.84, 570,385.62 and 241,282.80

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Solution

The fourth proportional to 413,349.84, 570,385.62 and 241,282.80 is: 332,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,349.84 : 570,385.62 = 241,282.80 : x
  2. Step 2: Convert to fraction form
    413,349.84/570,385.62 = 241,282.80/x
  3. Step 3: Cross multiply
    413,349.84x = 570,385.62 × 241,282.80
  4. Step 4: Simplify right side
    413,349.84x = 137,624,239,473.34
  5. Step 5: Solve for x
    x = 137,624,239,473.34/413,349.84
  6. Step 6: Final answer
    x = 332,948.57

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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.