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Finding the Fourth Proportional to 595,564.80, 893,462.40 and 174,854.40

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Solution

The fourth proportional to 595,564.80, 893,462.40 and 174,854.40 is: 262,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,564.80 : 893,462.40 = 174,854.40 : x
  2. Step 2: Convert to fraction form
    595,564.80/893,462.40 = 174,854.40/x
  3. Step 3: Cross multiply
    595,564.80x = 893,462.40 × 174,854.40
  4. Step 4: Simplify right side
    595,564.80x = 156,225,831,874.56
  5. Step 5: Solve for x
    x = 156,225,831,874.56/595,564.80
  6. Step 6: Final answer
    x = 262,315.42

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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.