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Finding the Fourth Proportional to 477,497.01, 658,946.19 and 262,653.42

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Solution

The fourth proportional to 477,497.01, 658,946.19 and 262,653.42 is: 362,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,497.01 : 658,946.19 = 262,653.42 : x
  2. Step 2: Convert to fraction form
    477,497.01/658,946.19 = 262,653.42/x
  3. Step 3: Cross multiply
    477,497.01x = 658,946.19 × 262,653.42
  4. Step 4: Simplify right side
    477,497.01x = 173,074,470,399.47
  5. Step 5: Solve for x
    x = 173,074,470,399.47/477,497.01
  6. Step 6: Final answer
    x = 362,461.89

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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.