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Finding the Fourth Proportional to 462,097.90, 692,179.91 and 371,651.78

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Solution

The fourth proportional to 462,097.90, 692,179.91 and 371,651.78 is: 556,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,097.90 : 692,179.91 = 371,651.78 : x
  2. Step 2: Convert to fraction form
    462,097.90/692,179.91 = 371,651.78/x
  3. Step 3: Cross multiply
    462,097.90x = 692,179.91 × 371,651.78
  4. Step 4: Simplify right side
    462,097.90x = 257,249,895,631.74
  5. Step 5: Solve for x
    x = 257,249,895,631.74/462,097.90
  6. Step 6: Final answer
    x = 556,699.99

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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.