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Finding the Fourth Proportional to 487,425.94, 731,071.26 and 150,477.68

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Solution

The fourth proportional to 487,425.94, 731,071.26 and 150,477.68 is: 225,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,425.94 : 731,071.26 = 150,477.68 : x
  2. Step 2: Convert to fraction form
    487,425.94/731,071.26 = 150,477.68/x
  3. Step 3: Cross multiply
    487,425.94x = 731,071.26 × 150,477.68
  4. Step 4: Simplify right side
    487,425.94x = 110,009,908,947.16
  5. Step 5: Solve for x
    x = 110,009,908,947.16/487,425.94
  6. Step 6: Final answer
    x = 225,695.64

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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.