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Finding the Fourth Proportional to 405,354.65, 559,444.98 and 233,269.07

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Solution

The fourth proportional to 405,354.65, 559,444.98 and 233,269.07 is: 321,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,354.65 : 559,444.98 = 233,269.07 : x
  2. Step 2: Convert to fraction form
    405,354.65/559,444.98 = 233,269.07/x
  3. Step 3: Cross multiply
    405,354.65x = 559,444.98 × 233,269.07
  4. Step 4: Simplify right side
    405,354.65x = 130,501,210,200.77
  5. Step 5: Solve for x
    x = 130,501,210,200.77/405,354.65
  6. Step 6: Final answer
    x = 321,943.29

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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.