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Finding the Fourth Proportional to 430,263.10, 593,752.71 and 234,024.54

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Solution

The fourth proportional to 430,263.10, 593,752.71 and 234,024.54 is: 322,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,263.10 : 593,752.71 = 234,024.54 : x
  2. Step 2: Convert to fraction form
    430,263.10/593,752.71 = 234,024.54/x
  3. Step 3: Cross multiply
    430,263.10x = 593,752.71 × 234,024.54
  4. Step 4: Simplify right side
    430,263.10x = 138,952,704,831.50
  5. Step 5: Solve for x
    x = 138,952,704,831.50/430,263.10
  6. Step 6: Final answer
    x = 322,948.23

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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.