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Finding the Fourth Proportional to 461,311.15, 692,068.10 and 141,506.90

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Solution

The fourth proportional to 461,311.15, 692,068.10 and 141,506.90 is: 212,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,311.15 : 692,068.10 = 141,506.90 : x
  2. Step 2: Convert to fraction form
    461,311.15/692,068.10 = 141,506.90/x
  3. Step 3: Cross multiply
    461,311.15x = 692,068.10 × 141,506.90
  4. Step 4: Simplify right side
    461,311.15x = 97,932,410,643.25
  5. Step 5: Solve for x
    x = 97,932,410,643.25/461,311.15
  6. Step 6: Final answer
    x = 212,291.45

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1.5x scale

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.