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Finding the Fourth Proportional to 583,356, 805,031.82 and 315,084

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Solution

The fourth proportional to 583,356, 805,031.82 and 315,084 is: 434,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,356 : 805,031.82 = 315,084 : x
  2. Step 2: Convert to fraction form
    583,356/805,031.82 = 315,084/x
  3. Step 3: Cross multiply
    583,356x = 805,031.82 × 315,084
  4. Step 4: Simplify right side
    583,356x = 253,652,645,972.88
  5. Step 5: Solve for x
    x = 253,652,645,972.88/583,356
  6. Step 6: Final answer
    x = 434,816.21

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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.