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Finding the Fourth Proportional to 473,056, 652,817.28 and 322,416.16

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Solution

The fourth proportional to 473,056, 652,817.28 and 322,416.16 is: 444,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,056 : 652,817.28 = 322,416.16 : x
  2. Step 2: Convert to fraction form
    473,056/652,817.28 = 322,416.16/x
  3. Step 3: Cross multiply
    473,056x = 652,817.28 × 322,416.16
  4. Step 4: Simplify right side
    473,056x = 210,478,840,599.25
  5. Step 5: Solve for x
    x = 210,478,840,599.25/473,056
  6. Step 6: Final answer
    x = 444,934.30

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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.