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Finding the Fourth Proportional to 419,009.84, 578,293.08 and 237,766.40

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Solution

The fourth proportional to 419,009.84, 578,293.08 and 237,766.40 is: 328,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,009.84 : 578,293.08 = 237,766.40 : x
  2. Step 2: Convert to fraction form
    419,009.84/578,293.08 = 237,766.40/x
  3. Step 3: Cross multiply
    419,009.84x = 578,293.08 × 237,766.40
  4. Step 4: Simplify right side
    419,009.84x = 137,498,663,776.51
  5. Step 5: Solve for x
    x = 137,498,663,776.51/419,009.84
  6. Step 6: Final answer
    x = 328,151.40

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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.