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Finding the Fourth Proportional to 257,417.49, 386,084.93 and 70,385.25

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Solution

The fourth proportional to 257,417.49, 386,084.93 and 70,385.25 is: 105,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,417.49 : 386,084.93 = 70,385.25 : x
  2. Step 2: Convert to fraction form
    257,417.49/386,084.93 = 70,385.25/x
  3. Step 3: Cross multiply
    257,417.49x = 386,084.93 × 70,385.25
  4. Step 4: Simplify right side
    257,417.49x = 27,174,685,811.09
  5. Step 5: Solve for x
    x = 27,174,685,811.09/257,417.49
  6. Step 6: Final answer
    x = 105,566.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.