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Finding the Fourth Proportional to 583,886.78, 805,763.40 and 315,614.78

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Solution

The fourth proportional to 583,886.78, 805,763.40 and 315,614.78 is: 435,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,886.78 : 805,763.40 = 315,614.78 : x
  2. Step 2: Convert to fraction form
    583,886.78/805,763.40 = 315,614.78/x
  3. Step 3: Cross multiply
    583,886.78x = 805,763.40 × 315,614.78
  4. Step 4: Simplify right side
    583,886.78x = 254,310,838,223.05
  5. Step 5: Solve for x
    x = 254,310,838,223.05/583,886.78
  6. Step 6: Final answer
    x = 435,548.20

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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.