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Finding the Fourth Proportional to 564,066.41, 778,422.23 and 346,165.98

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Solution

The fourth proportional to 564,066.41, 778,422.23 and 346,165.98 is: 477,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,066.41 : 778,422.23 = 346,165.98 : x
  2. Step 2: Convert to fraction form
    564,066.41/778,422.23 = 346,165.98/x
  3. Step 3: Cross multiply
    564,066.41x = 778,422.23 × 346,165.98
  4. Step 4: Simplify right side
    564,066.41x = 269,463,291,965.67
  5. Step 5: Solve for x
    x = 269,463,291,965.67/564,066.41
  6. Step 6: Final answer
    x = 477,715.55

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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.