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Finding the Fourth Proportional to 698,745.29, 964,746.52 and 535,113.07

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Solution

The fourth proportional to 698,745.29, 964,746.52 and 535,113.07 is: 738,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,745.29 : 964,746.52 = 535,113.07 : x
  2. Step 2: Convert to fraction form
    698,745.29/964,746.52 = 535,113.07/x
  3. Step 3: Cross multiply
    698,745.29x = 964,746.52 × 535,113.07
  4. Step 4: Simplify right side
    698,745.29x = 516,248,468,339.37
  5. Step 5: Solve for x
    x = 516,248,468,339.37/698,745.29
  6. Step 6: Final answer
    x = 738,822.11

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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.