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Finding the Fourth Proportional to 588,537.81, 812,208.89 and 346,830.57

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Solution

The fourth proportional to 588,537.81, 812,208.89 and 346,830.57 is: 478,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,537.81 : 812,208.89 = 346,830.57 : x
  2. Step 2: Convert to fraction form
    588,537.81/812,208.89 = 346,830.57/x
  3. Step 3: Cross multiply
    588,537.81x = 812,208.89 × 346,830.57
  4. Step 4: Simplify right side
    588,537.81x = 281,698,870,543.61
  5. Step 5: Solve for x
    x = 281,698,870,543.61/588,537.81
  6. Step 6: Final answer
    x = 478,641.93

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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.