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Finding the Fourth Proportional to 419,215.32, 578,529.54 and 237,923.28

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Solution

The fourth proportional to 419,215.32, 578,529.54 and 237,923.28 is: 328,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,215.32 : 578,529.54 = 237,923.28 : x
  2. Step 2: Convert to fraction form
    419,215.32/578,529.54 = 237,923.28/x
  3. Step 3: Cross multiply
    419,215.32x = 578,529.54 × 237,923.28
  4. Step 4: Simplify right side
    419,215.32x = 137,645,645,733.69
  5. Step 5: Solve for x
    x = 137,645,645,733.69/419,215.32
  6. Step 6: Final answer
    x = 328,341.16

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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.