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Finding the Fourth Proportional to 583,210, 804,829.80 and 314,938

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Solution

The fourth proportional to 583,210, 804,829.80 and 314,938 is: 434,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,210 : 804,829.80 = 314,938 : x
  2. Step 2: Convert to fraction form
    583,210/804,829.80 = 314,938/x
  3. Step 3: Cross multiply
    583,210x = 804,829.80 × 314,938
  4. Step 4: Simplify right side
    583,210x = 253,471,487,552.40
  5. Step 5: Solve for x
    x = 253,471,487,552.40/583,210
  6. Step 6: Final answer
    x = 434,614.44

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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.