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Finding the Fourth Proportional to 430,114, 593,557.32 and 241,698

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Solution

The fourth proportional to 430,114, 593,557.32 and 241,698 is: 333,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,114 : 593,557.32 = 241,698 : x
  2. Step 2: Convert to fraction form
    430,114/593,557.32 = 241,698/x
  3. Step 3: Cross multiply
    430,114x = 593,557.32 × 241,698
  4. Step 4: Simplify right side
    430,114x = 143,461,617,129.36
  5. Step 5: Solve for x
    x = 143,461,617,129.36/430,114
  6. Step 6: Final answer
    x = 333,543.24

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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.