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Finding the Fourth Proportional to 601,497.09, 830,034.20 and 343,363.79

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Solution

The fourth proportional to 601,497.09, 830,034.20 and 343,363.79 is: 473,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,497.09 : 830,034.20 = 343,363.79 : x
  2. Step 2: Convert to fraction form
    601,497.09/830,034.20 = 343,363.79/x
  3. Step 3: Cross multiply
    601,497.09x = 830,034.20 × 343,363.79
  4. Step 4: Simplify right side
    601,497.09x = 285,003,691,675.11
  5. Step 5: Solve for x
    x = 285,003,691,675.11/601,497.09
  6. Step 6: Final answer
    x = 473,823.89

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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.