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Finding the Fourth Proportional to 464,681.96, 697,095.84 and 198,443.88

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Solution

The fourth proportional to 464,681.96, 697,095.84 and 198,443.88 is: 297,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,681.96 : 697,095.84 = 198,443.88 : x
  2. Step 2: Convert to fraction form
    464,681.96/697,095.84 = 198,443.88/x
  3. Step 3: Cross multiply
    464,681.96x = 697,095.84 × 198,443.88
  4. Step 4: Simplify right side
    464,681.96x = 138,334,403,221.46
  5. Step 5: Solve for x
    x = 138,334,403,221.46/464,681.96
  6. Step 6: Final answer
    x = 297,696.95

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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.