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Finding the Fourth Proportional to 458,332.40, 632,614.97 and 313,196.93

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Solution

The fourth proportional to 458,332.40, 632,614.97 and 313,196.93 is: 432,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,332.40 : 632,614.97 = 313,196.93 : x
  2. Step 2: Convert to fraction form
    458,332.40/632,614.97 = 313,196.93/x
  3. Step 3: Cross multiply
    458,332.40x = 632,614.97 × 313,196.93
  4. Step 4: Simplify right side
    458,332.40x = 198,133,066,476.04
  5. Step 5: Solve for x
    x = 198,133,066,476.04/458,332.40
  6. Step 6: Final answer
    x = 432,291.21

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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.