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Finding the Fourth Proportional to 602,331.44, 831,368.68 and 409,066.24

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Solution

The fourth proportional to 602,331.44, 831,368.68 and 409,066.24 is: 564,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,331.44 : 831,368.68 = 409,066.24 : x
  2. Step 2: Convert to fraction form
    602,331.44/831,368.68 = 409,066.24/x
  3. Step 3: Cross multiply
    602,331.44x = 831,368.68 × 409,066.24
  4. Step 4: Simplify right side
    602,331.44x = 340,084,859,981.36
  5. Step 5: Solve for x
    x = 340,084,859,981.36/602,331.44
  6. Step 6: Final answer
    x = 564,614.16

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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.