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Finding the Fourth Proportional to 583,212, 804,832.56 and 314,940

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Solution

The fourth proportional to 583,212, 804,832.56 and 314,940 is: 434,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,212 : 804,832.56 = 314,940 : x
  2. Step 2: Convert to fraction form
    583,212/804,832.56 = 314,940/x
  3. Step 3: Cross multiply
    583,212x = 804,832.56 × 314,940
  4. Step 4: Simplify right side
    583,212x = 253,473,966,446.40
  5. Step 5: Solve for x
    x = 253,473,966,446.40/583,212
  6. Step 6: Final answer
    x = 434,617.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.