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Finding the Fourth Proportional to 507,401.16, 761,041.26 and 133,453.32

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Solution

The fourth proportional to 507,401.16, 761,041.26 and 133,453.32 is: 200,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,401.16 : 761,041.26 = 133,453.32 : x
  2. Step 2: Convert to fraction form
    507,401.16/761,041.26 = 133,453.32/x
  3. Step 3: Cross multiply
    507,401.16x = 761,041.26 × 133,453.32
  4. Step 4: Simplify right side
    507,401.16x = 101,563,482,803.98
  5. Step 5: Solve for x
    x = 101,563,482,803.98/507,401.16
  6. Step 6: Final answer
    x = 200,164.07

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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.