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Finding the Fourth Proportional to 401,547.34, 602,212.06 and 173,921.14

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Solution

The fourth proportional to 401,547.34, 602,212.06 and 173,921.14 is: 260,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,547.34 : 602,212.06 = 173,921.14 : x
  2. Step 2: Convert to fraction form
    401,547.34/602,212.06 = 173,921.14/x
  3. Step 3: Cross multiply
    401,547.34x = 602,212.06 × 173,921.14
  4. Step 4: Simplify right side
    401,547.34x = 104,737,407,996.95
  5. Step 5: Solve for x
    x = 104,737,407,996.95/401,547.34
  6. Step 6: Final answer
    x = 260,834.52

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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.