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Finding the Fourth Proportional to 416,096.40, 623,780.10 and 282,543.60

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Solution

The fourth proportional to 416,096.40, 623,780.10 and 282,543.60 is: 423,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,096.40 : 623,780.10 = 282,543.60 : x
  2. Step 2: Convert to fraction form
    416,096.40/623,780.10 = 282,543.60/x
  3. Step 3: Cross multiply
    416,096.40x = 623,780.10 × 282,543.60
  4. Step 4: Simplify right side
    416,096.40x = 176,245,075,062.36
  5. Step 5: Solve for x
    x = 176,245,075,062.36/416,096.40
  6. Step 6: Final answer
    x = 423,567.89

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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.