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Finding the Fourth Proportional to 614,368.14, 847,831.89 and 342,453.23

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Solution

The fourth proportional to 614,368.14, 847,831.89 and 342,453.23 is: 472,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,368.14 : 847,831.89 = 342,453.23 : x
  2. Step 2: Convert to fraction form
    614,368.14/847,831.89 = 342,453.23/x
  3. Step 3: Cross multiply
    614,368.14x = 847,831.89 × 342,453.23
  4. Step 4: Simplify right side
    614,368.14x = 290,342,769,227.51
  5. Step 5: Solve for x
    x = 290,342,769,227.51/614,368.14
  6. Step 6: Final answer
    x = 472,587.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.