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Finding the Fourth Proportional to 311,970.06, 430,518.78 and 176,032.86

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Solution

The fourth proportional to 311,970.06, 430,518.78 and 176,032.86 is: 242,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,970.06 : 430,518.78 = 176,032.86 : x
  2. Step 2: Convert to fraction form
    311,970.06/430,518.78 = 176,032.86/x
  3. Step 3: Cross multiply
    311,970.06x = 430,518.78 × 176,032.86
  4. Step 4: Simplify right side
    311,970.06x = 75,785,452,127.11
  5. Step 5: Solve for x
    x = 75,785,452,127.11/311,970.06
  6. Step 6: Final answer
    x = 242,925.40

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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.