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Finding the Fourth Proportional to 430,047.96, 644,262.72 and 252,026.16

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Solution

The fourth proportional to 430,047.96, 644,262.72 and 252,026.16 is: 377,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,047.96 : 644,262.72 = 252,026.16 : x
  2. Step 2: Convert to fraction form
    430,047.96/644,262.72 = 252,026.16/x
  3. Step 3: Cross multiply
    430,047.96x = 644,262.72 × 252,026.16
  4. Step 4: Simplify right side
    430,047.96x = 162,371,059,352.76
  5. Step 5: Solve for x
    x = 162,371,059,352.76/430,047.96
  6. Step 6: Final answer
    x = 377,565.00

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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.