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Finding the Fourth Proportional to 477,407.90, 658,809.75 and 262,547.94

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Solution

The fourth proportional to 477,407.90, 658,809.75 and 262,547.94 is: 362,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,407.90 : 658,809.75 = 262,547.94 : x
  2. Step 2: Convert to fraction form
    477,407.90/658,809.75 = 262,547.94/x
  3. Step 3: Cross multiply
    477,407.90x = 658,809.75 × 262,547.94
  4. Step 4: Simplify right side
    477,407.90x = 172,969,141,401.68
  5. Step 5: Solve for x
    x = 172,969,141,401.68/477,407.90
  6. Step 6: Final answer
    x = 362,308.93

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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.