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Finding the Fourth Proportional to 384,263.10, 530,242.16 and 223,088.02

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Solution

The fourth proportional to 384,263.10, 530,242.16 and 223,088.02 is: 307,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,263.10 : 530,242.16 = 223,088.02 : x
  2. Step 2: Convert to fraction form
    384,263.10/530,242.16 = 223,088.02/x
  3. Step 3: Cross multiply
    384,263.10x = 530,242.16 × 223,088.02
  4. Step 4: Simplify right side
    384,263.10x = 118,290,672,827.04
  5. Step 5: Solve for x
    x = 118,290,672,827.04/384,263.10
  6. Step 6: Final answer
    x = 307,837.71

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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.