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Finding the Fourth Proportional to 684,801.34, 945,328.51 and 409,256.39

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Solution

The fourth proportional to 684,801.34, 945,328.51 and 409,256.39 is: 564,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,801.34 : 945,328.51 = 409,256.39 : x
  2. Step 2: Convert to fraction form
    684,801.34/945,328.51 = 409,256.39/x
  3. Step 3: Cross multiply
    684,801.34x = 945,328.51 × 409,256.39
  4. Step 4: Simplify right side
    684,801.34x = 386,881,736,241.57
  5. Step 5: Solve for x
    x = 386,881,736,241.57/684,801.34
  6. Step 6: Final answer
    x = 564,954.70

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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.