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Finding the Fourth Proportional to 260,308, 390,462.54 and 63,316

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Solution

The fourth proportional to 260,308, 390,462.54 and 63,316 is: 94,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,308 : 390,462.54 = 63,316 : x
  2. Step 2: Convert to fraction form
    260,308/390,462.54 = 63,316/x
  3. Step 3: Cross multiply
    260,308x = 390,462.54 × 63,316
  4. Step 4: Simplify right side
    260,308x = 24,722,526,182.64
  5. Step 5: Solve for x
    x = 24,722,526,182.64/260,308
  6. Step 6: Final answer
    x = 94,974.13

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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.