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Finding the Fourth Proportional to 507,934.80, 762,054.48 and 152,960.40

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Solution

The fourth proportional to 507,934.80, 762,054.48 and 152,960.40 is: 229,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,934.80 : 762,054.48 = 152,960.40 : x
  2. Step 2: Convert to fraction form
    507,934.80/762,054.48 = 152,960.40/x
  3. Step 3: Cross multiply
    507,934.80x = 762,054.48 × 152,960.40
  4. Step 4: Simplify right side
    507,934.80x = 116,564,158,082.59
  5. Step 5: Solve for x
    x = 116,564,158,082.59/507,934.80
  6. Step 6: Final answer
    x = 229,486.46

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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.