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Finding the Fourth Proportional to 507,134.52, 760,828.14 and 152,155.08

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Solution

The fourth proportional to 507,134.52, 760,828.14 and 152,155.08 is: 228,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,134.52 : 760,828.14 = 152,155.08 : x
  2. Step 2: Convert to fraction form
    507,134.52/760,828.14 = 152,155.08/x
  3. Step 3: Cross multiply
    507,134.52x = 760,828.14 × 152,155.08
  4. Step 4: Simplify right side
    507,134.52x = 115,763,866,507.95
  5. Step 5: Solve for x
    x = 115,763,866,507.95/507,134.52
  6. Step 6: Final answer
    x = 228,270.53

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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.