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Finding the Fourth Proportional to 537,088.56, 805,460.39 and 177,178.53

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Solution

The fourth proportional to 537,088.56, 805,460.39 and 177,178.53 is: 265,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,088.56 : 805,460.39 = 177,178.53 : x
  2. Step 2: Convert to fraction form
    537,088.56/805,460.39 = 177,178.53/x
  3. Step 3: Cross multiply
    537,088.56x = 805,460.39 × 177,178.53
  4. Step 4: Simplify right side
    537,088.56x = 142,710,287,873.43
  5. Step 5: Solve for x
    x = 142,710,287,873.43/537,088.56
  6. Step 6: Final answer
    x = 265,710.91

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Why These Related Problems?

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