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Finding the Fourth Proportional to 344,225.50, 475,075.74 and 193,322.50

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Solution

The fourth proportional to 344,225.50, 475,075.74 and 193,322.50 is: 266,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,225.50 : 475,075.74 = 193,322.50 : x
  2. Step 2: Convert to fraction form
    344,225.50/475,075.74 = 193,322.50/x
  3. Step 3: Cross multiply
    344,225.50x = 475,075.74 × 193,322.50
  4. Step 4: Simplify right side
    344,225.50x = 91,842,829,746.15
  5. Step 5: Solve for x
    x = 91,842,829,746.15/344,225.50
  6. Step 6: Final answer
    x = 266,810.07

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Why These Related Problems?

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