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Finding the Fourth Proportional to 569,746.49, 786,218.34 and 311,572.49

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Solution

The fourth proportional to 569,746.49, 786,218.34 and 311,572.49 is: 429,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,746.49 : 786,218.34 = 311,572.49 : x
  2. Step 2: Convert to fraction form
    569,746.49/786,218.34 = 311,572.49/x
  3. Step 3: Cross multiply
    569,746.49x = 786,218.34 × 311,572.49
  4. Step 4: Simplify right side
    569,746.49x = 244,964,001,946.38
  5. Step 5: Solve for x
    x = 244,964,001,946.38/569,746.49
  6. Step 6: Final answer
    x = 429,952.63

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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.