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Finding the Fourth Proportional to 432,068.64, 596,088.42 and 270,642.66

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Solution

The fourth proportional to 432,068.64, 596,088.42 and 270,642.66 is: 373,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,068.64 : 596,088.42 = 270,642.66 : x
  2. Step 2: Convert to fraction form
    432,068.64/596,088.42 = 270,642.66/x
  3. Step 3: Cross multiply
    432,068.64x = 596,088.42 × 270,642.66
  4. Step 4: Simplify right side
    432,068.64x = 161,326,951,250.34
  5. Step 5: Solve for x
    x = 161,326,951,250.34/432,068.64
  6. Step 6: Final answer
    x = 373,382.69

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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.