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Finding the Fourth Proportional to 466,075.68, 698,628.96 and 316,328.16

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Solution

The fourth proportional to 466,075.68, 698,628.96 and 316,328.16 is: 474,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,075.68 : 698,628.96 = 316,328.16 : x
  2. Step 2: Convert to fraction form
    466,075.68/698,628.96 = 316,328.16/x
  3. Step 3: Cross multiply
    466,075.68x = 698,628.96 × 316,328.16
  4. Step 4: Simplify right side
    466,075.68x = 220,996,013,439.51
  5. Step 5: Solve for x
    x = 220,996,013,439.51/466,075.68
  6. Step 6: Final answer
    x = 474,163.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.