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Finding the Fourth Proportional to 583,599, 805,428.54 and 342,084.50

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Solution

The fourth proportional to 583,599, 805,428.54 and 342,084.50 is: 472,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,599 : 805,428.54 = 342,084.50 : x
  2. Step 2: Convert to fraction form
    583,599/805,428.54 = 342,084.50/x
  3. Step 3: Cross multiply
    583,599x = 805,428.54 × 342,084.50
  4. Step 4: Simplify right side
    583,599x = 275,524,615,364.49
  5. Step 5: Solve for x
    x = 275,524,615,364.49/583,599
  6. Step 6: Final answer
    x = 472,112.90

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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.