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Finding the Fourth Proportional to 370,156.74, 510,795.63 and 209,044.50

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Solution

The fourth proportional to 370,156.74, 510,795.63 and 209,044.50 is: 288,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,156.74 : 510,795.63 = 209,044.50 : x
  2. Step 2: Convert to fraction form
    370,156.74/510,795.63 = 209,044.50/x
  3. Step 3: Cross multiply
    370,156.74x = 510,795.63 × 209,044.50
  4. Step 4: Simplify right side
    370,156.74x = 106,779,017,075.54
  5. Step 5: Solve for x
    x = 106,779,017,075.54/370,156.74
  6. Step 6: Final answer
    x = 288,469.74

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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.