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Finding the Fourth Proportional to 354,881.80, 532,322.70 and 319,889.80

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Solution

The fourth proportional to 354,881.80, 532,322.70 and 319,889.80 is: 479,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,881.80 : 532,322.70 = 319,889.80 : x
  2. Step 2: Convert to fraction form
    354,881.80/532,322.70 = 319,889.80/x
  3. Step 3: Cross multiply
    354,881.80x = 532,322.70 × 319,889.80
  4. Step 4: Simplify right side
    354,881.80x = 170,284,602,038.46
  5. Step 5: Solve for x
    x = 170,284,602,038.46/354,881.80
  6. Step 6: Final answer
    x = 479,834.70

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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.