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Finding the Fourth Proportional to 468,462.32, 646,472.63 and 253,597.67

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Solution

The fourth proportional to 468,462.32, 646,472.63 and 253,597.67 is: 349,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,462.32 : 646,472.63 = 253,597.67 : x
  2. Step 2: Convert to fraction form
    468,462.32/646,472.63 = 253,597.67/x
  3. Step 3: Cross multiply
    468,462.32x = 646,472.63 × 253,597.67
  4. Step 4: Simplify right side
    468,462.32x = 163,943,950,088.40
  5. Step 5: Solve for x
    x = 163,943,950,088.40/468,462.32
  6. Step 6: Final answer
    x = 349,961.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.