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Finding the Fourth Proportional to 524,000.10, 786,000.15 and 466,919.40

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Solution

The fourth proportional to 524,000.10, 786,000.15 and 466,919.40 is: 700,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,000.10 : 786,000.15 = 466,919.40 : x
  2. Step 2: Convert to fraction form
    524,000.10/786,000.15 = 466,919.40/x
  3. Step 3: Cross multiply
    524,000.10x = 786,000.15 × 466,919.40
  4. Step 4: Simplify right side
    524,000.10x = 366,998,718,437.91
  5. Step 5: Solve for x
    x = 366,998,718,437.91/524,000.10
  6. Step 6: Final answer
    x = 700,379.10

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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.