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Finding the Fourth Proportional to 478,436.32, 717,161.59 and 212,322.16

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Solution

The fourth proportional to 478,436.32, 717,161.59 and 212,322.16 is: 318,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,436.32 : 717,161.59 = 212,322.16 : x
  2. Step 2: Convert to fraction form
    478,436.32/717,161.59 = 212,322.16/x
  3. Step 3: Cross multiply
    478,436.32x = 717,161.59 × 212,322.16
  4. Step 4: Simplify right side
    478,436.32x = 152,269,293,210.42
  5. Step 5: Solve for x
    x = 152,269,293,210.42/478,436.32
  6. Step 6: Final answer
    x = 318,264.50

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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.