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Finding the Fourth Proportional to 419,144.32, 578,248.32 and 257,950.72

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Solution

The fourth proportional to 419,144.32, 578,248.32 and 257,950.72 is: 355,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,144.32 : 578,248.32 = 257,950.72 : x
  2. Step 2: Convert to fraction form
    419,144.32/578,248.32 = 257,950.72/x
  3. Step 3: Cross multiply
    419,144.32x = 578,248.32 × 257,950.72
  4. Step 4: Simplify right side
    419,144.32x = 149,159,570,482.79
  5. Step 5: Solve for x
    x = 149,159,570,482.79/419,144.32
  6. Step 6: Final answer
    x = 355,866.85

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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.