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Finding the Fourth Proportional to 614,871.72, 848,527.56 and 342,957.24

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Solution

The fourth proportional to 614,871.72, 848,527.56 and 342,957.24 is: 473,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,871.72 : 848,527.56 = 342,957.24 : x
  2. Step 2: Convert to fraction form
    614,871.72/848,527.56 = 342,957.24/x
  3. Step 3: Cross multiply
    614,871.72x = 848,527.56 × 342,957.24
  4. Step 4: Simplify right side
    614,871.72x = 291,008,670,041.53
  5. Step 5: Solve for x
    x = 291,008,670,041.53/614,871.72
  6. Step 6: Final answer
    x = 473,283.55

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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.