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Finding the Fourth Proportional to 534,510.40, 737,686.56 and 308,164

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Solution

The fourth proportional to 534,510.40, 737,686.56 and 308,164 is: 425,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,510.40 : 737,686.56 = 308,164 : x
  2. Step 2: Convert to fraction form
    534,510.40/737,686.56 = 308,164/x
  3. Step 3: Cross multiply
    534,510.40x = 737,686.56 × 308,164
  4. Step 4: Simplify right side
    534,510.40x = 227,328,441,075.84
  5. Step 5: Solve for x
    x = 227,328,441,075.84/534,510.40
  6. Step 6: Final answer
    x = 425,302.19

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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.