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Finding the Fourth Proportional to 421,547.09, 632,353.62 and 122,032.16

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Solution

The fourth proportional to 421,547.09, 632,353.62 and 122,032.16 is: 183,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,547.09 : 632,353.62 = 122,032.16 : x
  2. Step 2: Convert to fraction form
    421,547.09/632,353.62 = 122,032.16/x
  3. Step 3: Cross multiply
    421,547.09x = 632,353.62 × 122,032.16
  4. Step 4: Simplify right side
    421,547.09x = 77,167,478,132.42
  5. Step 5: Solve for x
    x = 77,167,478,132.42/421,547.09
  6. Step 6: Final answer
    x = 183,057.79

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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.