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Finding the Fourth Proportional to 584,775.80, 876,457.26 and 284,806.76

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Solution

The fourth proportional to 584,775.80, 876,457.26 and 284,806.76 is: 426,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,775.80 : 876,457.26 = 284,806.76 : x
  2. Step 2: Convert to fraction form
    584,775.80/876,457.26 = 284,806.76/x
  3. Step 3: Cross multiply
    584,775.80x = 876,457.26 × 284,806.76
  4. Step 4: Simplify right side
    584,775.80x = 249,620,952,499.08
  5. Step 5: Solve for x
    x = 249,620,952,499.08/584,775.80
  6. Step 6: Final answer
    x = 426,866.08

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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.