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Finding the Fourth Proportional to 742,953, 1,025,275.14 and 425,001

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Solution

The fourth proportional to 742,953, 1,025,275.14 and 425,001 is: 586,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,953 : 1,025,275.14 = 425,001 : x
  2. Step 2: Convert to fraction form
    742,953/1,025,275.14 = 425,001/x
  3. Step 3: Cross multiply
    742,953x = 1,025,275.14 × 425,001
  4. Step 4: Simplify right side
    742,953x = 435,742,959,775.14
  5. Step 5: Solve for x
    x = 435,742,959,775.14/742,953
  6. Step 6: Final answer
    x = 586,501.38

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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.