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Finding the Fourth Proportional to 592,565.12, 889,019.82 and 213,478.64

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Solution

The fourth proportional to 592,565.12, 889,019.82 and 213,478.64 is: 320,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,565.12 : 889,019.82 = 213,478.64 : x
  2. Step 2: Convert to fraction form
    592,565.12/889,019.82 = 213,478.64/x
  3. Step 3: Cross multiply
    592,565.12x = 889,019.82 × 213,478.64
  4. Step 4: Simplify right side
    592,565.12x = 189,786,742,106.65
  5. Step 5: Solve for x
    x = 189,786,742,106.65/592,565.12
  6. Step 6: Final answer
    x = 320,279.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.