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Finding the Fourth Proportional to 460,356.80, 689,368.80 and 367,044.80

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Solution

The fourth proportional to 460,356.80, 689,368.80 and 367,044.80 is: 549,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,356.80 : 689,368.80 = 367,044.80 : x
  2. Step 2: Convert to fraction form
    460,356.80/689,368.80 = 367,044.80/x
  3. Step 3: Cross multiply
    460,356.80x = 689,368.80 × 367,044.80
  4. Step 4: Simplify right side
    460,356.80x = 253,029,233,322.24
  5. Step 5: Solve for x
    x = 253,029,233,322.24/460,356.80
  6. Step 6: Final answer
    x = 549,637.22

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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.