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Finding the Fourth Proportional to 507,160.40, 760,814.78 and 152,202.47

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Solution

The fourth proportional to 507,160.40, 760,814.78 and 152,202.47 is: 228,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,160.40 : 760,814.78 = 152,202.47 : x
  2. Step 2: Convert to fraction form
    507,160.40/760,814.78 = 152,202.47/x
  3. Step 3: Cross multiply
    507,160.40x = 760,814.78 × 152,202.47
  4. Step 4: Simplify right side
    507,160.40x = 115,797,884,163.42
  5. Step 5: Solve for x
    x = 115,797,884,163.42/507,160.40
  6. Step 6: Final answer
    x = 228,325.96

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1.5x scale

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.