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Finding the Fourth Proportional to 1,775,547, 2,450,263.50 and 970,731

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Solution

The fourth proportional to 1,775,547, 2,450,263.50 and 970,731 is: 1,339,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,547 : 2,450,263.50 = 970,731 : x
  2. Step 2: Convert to fraction form
    1,775,547/2,450,263.50 = 970,731/x
  3. Step 3: Cross multiply
    1,775,547x = 2,450,263.50 × 970,731
  4. Step 4: Simplify right side
    1,775,547x = 2,378,546,737,618.50
  5. Step 5: Solve for x
    x = 2,378,546,737,618.50/1,775,547
  6. Step 6: Final answer
    x = 1,339,613.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.