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Finding the Fourth Proportional to 877,591, 1,316,386.50 and 212,743

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Solution

The fourth proportional to 877,591, 1,316,386.50 and 212,743 is: 319,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,591 : 1,316,386.50 = 212,743 : x
  2. Step 2: Convert to fraction form
    877,591/1,316,386.50 = 212,743/x
  3. Step 3: Cross multiply
    877,591x = 1,316,386.50 × 212,743
  4. Step 4: Simplify right side
    877,591x = 280,052,013,169.50
  5. Step 5: Solve for x
    x = 280,052,013,169.50/877,591
  6. Step 6: Final answer
    x = 319,114.50

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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.