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Finding the Fourth Proportional to 601,461.74, 829,911.69 and 343,220.78

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Solution

The fourth proportional to 601,461.74, 829,911.69 and 343,220.78 is: 473,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,461.74 : 829,911.69 = 343,220.78 : x
  2. Step 2: Convert to fraction form
    601,461.74/829,911.69 = 343,220.78/x
  3. Step 3: Cross multiply
    601,461.74x = 829,911.69 × 343,220.78
  4. Step 4: Simplify right side
    601,461.74x = 284,842,933,423.36
  5. Step 5: Solve for x
    x = 284,842,933,423.36/601,461.74
  6. Step 6: Final answer
    x = 473,584.46

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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.