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Finding the Fourth Proportional to 457,567.36, 686,459.96 and 158,050.40

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Solution

The fourth proportional to 457,567.36, 686,459.96 and 158,050.40 is: 237,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,567.36 : 686,459.96 = 158,050.40 : x
  2. Step 2: Convert to fraction form
    457,567.36/686,459.96 = 158,050.40/x
  3. Step 3: Cross multiply
    457,567.36x = 686,459.96 × 158,050.40
  4. Step 4: Simplify right side
    457,567.36x = 108,495,271,261.98
  5. Step 5: Solve for x
    x = 108,495,271,261.98/457,567.36
  6. Step 6: Final answer
    x = 237,113.22

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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.