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Finding the Fourth Proportional to 832,782, 1,249,207.56 and 241,806

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Solution

The fourth proportional to 832,782, 1,249,207.56 and 241,806 is: 362,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,782 : 1,249,207.56 = 241,806 : x
  2. Step 2: Convert to fraction form
    832,782/1,249,207.56 = 241,806/x
  3. Step 3: Cross multiply
    832,782x = 1,249,207.56 × 241,806
  4. Step 4: Simplify right side
    832,782x = 302,065,883,253.36
  5. Step 5: Solve for x
    x = 302,065,883,253.36/832,782
  6. Step 6: Final answer
    x = 362,719.03

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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.