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Finding the Fourth Proportional to 514,803.85, 772,308.74 and 177,856.81

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Solution

The fourth proportional to 514,803.85, 772,308.74 and 177,856.81 is: 266,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,803.85 : 772,308.74 = 177,856.81 : x
  2. Step 2: Convert to fraction form
    514,803.85/772,308.74 = 177,856.81/x
  3. Step 3: Cross multiply
    514,803.85x = 772,308.74 × 177,856.81
  4. Step 4: Simplify right side
    514,803.85x = 137,360,368,831.52
  5. Step 5: Solve for x
    x = 137,360,368,831.52/514,803.85
  6. Step 6: Final answer
    x = 266,820.79

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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.