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Finding the Fourth Proportional to 554,228.80, 830,176.80 and 460,916.80

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Solution

The fourth proportional to 554,228.80, 830,176.80 and 460,916.80 is: 690,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,228.80 : 830,176.80 = 460,916.80 : x
  2. Step 2: Convert to fraction form
    554,228.80/830,176.80 = 460,916.80/x
  3. Step 3: Cross multiply
    554,228.80x = 830,176.80 × 460,916.80
  4. Step 4: Simplify right side
    554,228.80x = 382,642,434,090.24
  5. Step 5: Solve for x
    x = 382,642,434,090.24/554,228.80
  6. Step 6: Final answer
    x = 690,405.18

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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.