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Finding the Fourth Proportional to 588,574.22, 812,259.16 and 346,866.98

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Solution

The fourth proportional to 588,574.22, 812,259.16 and 346,866.98 is: 478,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,574.22 : 812,259.16 = 346,866.98 : x
  2. Step 2: Convert to fraction form
    588,574.22/812,259.16 = 346,866.98/x
  3. Step 3: Cross multiply
    588,574.22x = 812,259.16 × 346,866.98
  4. Step 4: Simplify right side
    588,574.22x = 281,745,881,806.54
  5. Step 5: Solve for x
    x = 281,745,881,806.54/588,574.22
  6. Step 6: Final answer
    x = 478,692.19

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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.