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Finding the Fourth Proportional to 510,853.32, 704,241 and 357,416.10

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Solution

The fourth proportional to 510,853.32, 704,241 and 357,416.10 is: 492,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,853.32 : 704,241 = 357,416.10 : x
  2. Step 2: Convert to fraction form
    510,853.32/704,241 = 357,416.10/x
  3. Step 3: Cross multiply
    510,853.32x = 704,241 × 357,416.10
  4. Step 4: Simplify right side
    510,853.32x = 251,707,071,680.10
  5. Step 5: Solve for x
    x = 251,707,071,680.10/510,853.32
  6. Step 6: Final answer
    x = 492,718.87

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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.