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Finding the Fourth Proportional to 338,902.71, 507,779.98 and 224,970.95

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Solution

The fourth proportional to 338,902.71, 507,779.98 and 224,970.95 is: 337,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,902.71 : 507,779.98 = 224,970.95 : x
  2. Step 2: Convert to fraction form
    338,902.71/507,779.98 = 224,970.95/x
  3. Step 3: Cross multiply
    338,902.71x = 507,779.98 × 224,970.95
  4. Step 4: Simplify right side
    338,902.71x = 114,235,744,491.58
  5. Step 5: Solve for x
    x = 114,235,744,491.58/338,902.71
  6. Step 6: Final answer
    x = 337,075.33

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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.