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Finding the Fourth Proportional to 702,302.16, 968,261.94 and 447,560.40

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Solution

The fourth proportional to 702,302.16, 968,261.94 and 447,560.40 is: 617,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,302.16 : 968,261.94 = 447,560.40 : x
  2. Step 2: Convert to fraction form
    702,302.16/968,261.94 = 447,560.40/x
  3. Step 3: Cross multiply
    702,302.16x = 968,261.94 × 447,560.40
  4. Step 4: Simplify right side
    702,302.16x = 433,355,701,171.18
  5. Step 5: Solve for x
    x = 433,355,701,171.18/702,302.16
  6. Step 6: Final answer
    x = 617,050.22

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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.