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Finding the Fourth Proportional to 702,360.95, 969,262.61 and 411,913.31

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Solution

The fourth proportional to 702,360.95, 969,262.61 and 411,913.31 is: 568,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,360.95 : 969,262.61 = 411,913.31 : x
  2. Step 2: Convert to fraction form
    702,360.95/969,262.61 = 411,913.31/x
  3. Step 3: Cross multiply
    702,360.95x = 969,262.61 × 411,913.31
  4. Step 4: Simplify right side
    702,360.95x = 399,252,163,038.46
  5. Step 5: Solve for x
    x = 399,252,163,038.46/702,360.95
  6. Step 6: Final answer
    x = 568,443.00

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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.