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Finding the Fourth Proportional to 419,666.40, 578,798.64 and 384,680.16

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Solution

The fourth proportional to 419,666.40, 578,798.64 and 384,680.16 is: 530,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,666.40 : 578,798.64 = 384,680.16 : x
  2. Step 2: Convert to fraction form
    419,666.40/578,798.64 = 384,680.16/x
  3. Step 3: Cross multiply
    419,666.40x = 578,798.64 × 384,680.16
  4. Step 4: Simplify right side
    419,666.40x = 222,652,353,442.98
  5. Step 5: Solve for x
    x = 222,652,353,442.98/419,666.40
  6. Step 6: Final answer
    x = 530,546.06

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1.5x scale

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.