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Finding the Fourth Proportional to 601,646.79, 830,167.33 and 343,405.83

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Solution

The fourth proportional to 601,646.79, 830,167.33 and 343,405.83 is: 473,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,646.79 : 830,167.33 = 343,405.83 : x
  2. Step 2: Convert to fraction form
    601,646.79/830,167.33 = 343,405.83/x
  3. Step 3: Cross multiply
    601,646.79x = 830,167.33 × 343,405.83
  4. Step 4: Simplify right side
    601,646.79x = 285,084,300,997.53
  5. Step 5: Solve for x
    x = 285,084,300,997.53/601,646.79
  6. Step 6: Final answer
    x = 473,839.98

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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.