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Finding the Fourth Proportional to 517,715.71, 776,657.71 and 153,014.32

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Solution

The fourth proportional to 517,715.71, 776,657.71 and 153,014.32 is: 229,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,715.71 : 776,657.71 = 153,014.32 : x
  2. Step 2: Convert to fraction form
    517,715.71/776,657.71 = 153,014.32/x
  3. Step 3: Cross multiply
    517,715.71x = 776,657.71 × 153,014.32
  4. Step 4: Simplify right side
    517,715.71x = 118,839,752,530.50
  5. Step 5: Solve for x
    x = 118,839,752,530.50/517,715.71
  6. Step 6: Final answer
    x = 229,546.35

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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.