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Finding the Fourth Proportional to 419,230.93, 578,509.48 and 237,946.54

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Solution

The fourth proportional to 419,230.93, 578,509.48 and 237,946.54 is: 328,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,230.93 : 578,509.48 = 237,946.54 : x
  2. Step 2: Convert to fraction form
    419,230.93/578,509.48 = 237,946.54/x
  3. Step 3: Cross multiply
    419,230.93x = 578,509.48 × 237,946.54
  4. Step 4: Simplify right side
    419,230.93x = 137,654,329,123.20
  5. Step 5: Solve for x
    x = 137,654,329,123.20/419,230.93
  6. Step 6: Final answer
    x = 328,349.65

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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.