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Finding the Fourth Proportional to 583,983, 805,896.72 and 315,711

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Solution

The fourth proportional to 583,983, 805,896.72 and 315,711 is: 435,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,983 : 805,896.72 = 315,711 : x
  2. Step 2: Convert to fraction form
    583,983/805,896.72 = 315,711/x
  3. Step 3: Cross multiply
    583,983x = 805,896.72 × 315,711
  4. Step 4: Simplify right side
    583,983x = 254,430,459,367.92
  5. Step 5: Solve for x
    x = 254,430,459,367.92/583,983
  6. Step 6: Final answer
    x = 435,681.28

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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.