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Finding the Fourth Proportional to 389,772.50, 537,886.05 and 210,924.50

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Solution

The fourth proportional to 389,772.50, 537,886.05 and 210,924.50 is: 291,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,772.50 : 537,886.05 = 210,924.50 : x
  2. Step 2: Convert to fraction form
    389,772.50/537,886.05 = 210,924.50/x
  3. Step 3: Cross multiply
    389,772.50x = 537,886.05 × 210,924.50
  4. Step 4: Simplify right side
    389,772.50x = 113,453,346,153.23
  5. Step 5: Solve for x
    x = 113,453,346,153.23/389,772.50
  6. Step 6: Final answer
    x = 291,075.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.