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Finding the Fourth Proportional to 564,708.12, 779,298.06 and 310,075.56

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Solution

The fourth proportional to 564,708.12, 779,298.06 and 310,075.56 is: 427,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,708.12 : 779,298.06 = 310,075.56 : x
  2. Step 2: Convert to fraction form
    564,708.12/779,298.06 = 310,075.56/x
  3. Step 3: Cross multiply
    564,708.12x = 779,298.06 × 310,075.56
  4. Step 4: Simplify right side
    564,708.12x = 241,641,282,361.41
  5. Step 5: Solve for x
    x = 241,641,282,361.41/564,708.12
  6. Step 6: Final answer
    x = 427,904.74

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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.