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Finding the Fourth Proportional to 502,588.96, 693,009.84 and 470,702.48

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Solution

The fourth proportional to 502,588.96, 693,009.84 and 470,702.48 is: 649,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,588.96 : 693,009.84 = 470,702.48 : x
  2. Step 2: Convert to fraction form
    502,588.96/693,009.84 = 470,702.48/x
  3. Step 3: Cross multiply
    502,588.96x = 693,009.84 × 470,702.48
  4. Step 4: Simplify right side
    502,588.96x = 326,201,450,352.40
  5. Step 5: Solve for x
    x = 326,201,450,352.40/502,588.96
  6. Step 6: Final answer
    x = 649,042.21

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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.