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Finding the Fourth Proportional to 460,359.80, 689,373.30 and 367,047.80

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Solution

The fourth proportional to 460,359.80, 689,373.30 and 367,047.80 is: 549,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,359.80 : 689,373.30 = 367,047.80 : x
  2. Step 2: Convert to fraction form
    460,359.80/689,373.30 = 367,047.80/x
  3. Step 3: Cross multiply
    460,359.80x = 689,373.30 × 367,047.80
  4. Step 4: Simplify right side
    460,359.80x = 253,032,953,143.74
  5. Step 5: Solve for x
    x = 253,032,953,143.74/460,359.80
  6. Step 6: Final answer
    x = 549,641.72

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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.