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Finding the Fourth Proportional to 611,658.82, 917,488.23 and 190,970.74

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Solution

The fourth proportional to 611,658.82, 917,488.23 and 190,970.74 is: 286,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,658.82 : 917,488.23 = 190,970.74 : x
  2. Step 2: Convert to fraction form
    611,658.82/917,488.23 = 190,970.74/x
  3. Step 3: Cross multiply
    611,658.82x = 917,488.23 × 190,970.74
  4. Step 4: Simplify right side
    611,658.82x = 175,213,406,224.39
  5. Step 5: Solve for x
    x = 175,213,406,224.39/611,658.82
  6. Step 6: Final answer
    x = 286,456.11

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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.