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Finding the Fourth Proportional to 565,313.80, 847,443.66 and 191,075.08

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Solution

The fourth proportional to 565,313.80, 847,443.66 and 191,075.08 is: 286,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,313.80 : 847,443.66 = 191,075.08 : x
  2. Step 2: Convert to fraction form
    565,313.80/847,443.66 = 191,075.08/x
  3. Step 3: Cross multiply
    565,313.80x = 847,443.66 × 191,075.08
  4. Step 4: Simplify right side
    565,313.80x = 161,925,365,129.99
  5. Step 5: Solve for x
    x = 161,925,365,129.99/565,313.80
  6. Step 6: Final answer
    x = 286,434.48

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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.