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Finding the Fourth Proportional to 419,156.32, 578,264.80 and 257,962.72

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Solution

The fourth proportional to 419,156.32, 578,264.80 and 257,962.72 is: 355,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,156.32 : 578,264.80 = 257,962.72 : x
  2. Step 2: Convert to fraction form
    419,156.32/578,264.80 = 257,962.72/x
  3. Step 3: Cross multiply
    419,156.32x = 578,264.80 × 257,962.72
  4. Step 4: Simplify right side
    419,156.32x = 149,170,760,688.26
  5. Step 5: Solve for x
    x = 149,170,760,688.26/419,156.32
  6. Step 6: Final answer
    x = 355,883.36

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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.