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Finding the Fourth Proportional to 501,805.19, 692,176.22 and 297,711.65

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Solution

The fourth proportional to 501,805.19, 692,176.22 and 297,711.65 is: 410,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,805.19 : 692,176.22 = 297,711.65 : x
  2. Step 2: Convert to fraction form
    501,805.19/692,176.22 = 297,711.65/x
  3. Step 3: Cross multiply
    501,805.19x = 692,176.22 × 297,711.65
  4. Step 4: Simplify right side
    501,805.19x = 206,068,925,905.26
  5. Step 5: Solve for x
    x = 206,068,925,905.26/501,805.19
  6. Step 6: Final answer
    x = 410,655.23

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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.