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Finding the Fourth Proportional to 1,583,985.63, 2,375,737.88 and 519,004.11

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Solution

The fourth proportional to 1,583,985.63, 2,375,737.88 and 519,004.11 is: 778,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,985.63 : 2,375,737.88 = 519,004.11 : x
  2. Step 2: Convert to fraction form
    1,583,985.63/2,375,737.88 = 519,004.11/x
  3. Step 3: Cross multiply
    1,583,985.63x = 2,375,737.88 × 519,004.11
  4. Step 4: Simplify right side
    1,583,985.63x = 1,233,017,721,407.67
  5. Step 5: Solve for x
    x = 1,233,017,721,407.67/1,583,985.63
  6. Step 6: Final answer
    x = 778,427.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.