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Finding the Fourth Proportional to 686,450.16, 947,256.12 and 384,585.84

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Solution

The fourth proportional to 686,450.16, 947,256.12 and 384,585.84 is: 530,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,450.16 : 947,256.12 = 384,585.84 : x
  2. Step 2: Convert to fraction form
    686,450.16/947,256.12 = 384,585.84/x
  3. Step 3: Cross multiply
    686,450.16x = 947,256.12 × 384,585.84
  4. Step 4: Simplify right side
    686,450.16x = 364,301,290,605.34
  5. Step 5: Solve for x
    x = 364,301,290,605.34/686,450.16
  6. Step 6: Final answer
    x = 530,703.19

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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.