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Finding the Fourth Proportional to 430,883.37, 594,709.20 and 258,808.86

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Solution

The fourth proportional to 430,883.37, 594,709.20 and 258,808.86 is: 357,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,883.37 : 594,709.20 = 258,808.86 : x
  2. Step 2: Convert to fraction form
    430,883.37/594,709.20 = 258,808.86/x
  3. Step 3: Cross multiply
    430,883.37x = 594,709.20 × 258,808.86
  4. Step 4: Simplify right side
    430,883.37x = 153,916,010,083.51
  5. Step 5: Solve for x
    x = 153,916,010,083.51/430,883.37
  6. Step 6: Final answer
    x = 357,210.37

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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.