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Finding the Fourth Proportional to 583,968, 805,877.76 and 315,697.92

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Solution

The fourth proportional to 583,968, 805,877.76 and 315,697.92 is: 435,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,968 : 805,877.76 = 315,697.92 : x
  2. Step 2: Convert to fraction form
    583,968/805,877.76 = 315,697.92/x
  3. Step 3: Cross multiply
    583,968x = 805,877.76 × 315,697.92
  4. Step 4: Simplify right side
    583,968x = 254,413,932,606.26
  5. Step 5: Solve for x
    x = 254,413,932,606.26/583,968
  6. Step 6: Final answer
    x = 435,664.17

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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.