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Finding the Fourth Proportional to 353,533, 487,875.62 and 194,557

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Solution

The fourth proportional to 353,533, 487,875.62 and 194,557 is: 268,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,533 : 487,875.62 = 194,557 : x
  2. Step 2: Convert to fraction form
    353,533/487,875.62 = 194,557/x
  3. Step 3: Cross multiply
    353,533x = 487,875.62 × 194,557
  4. Step 4: Simplify right side
    353,533x = 94,919,617,000.34
  5. Step 5: Solve for x
    x = 94,919,617,000.34/353,533
  6. Step 6: Final answer
    x = 268,488.70

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Why These Related Problems?

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