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Finding the Fourth Proportional to 651,953.10, 978,164.55 and 292,094.40

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Solution

The fourth proportional to 651,953.10, 978,164.55 and 292,094.40 is: 438,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,953.10 : 978,164.55 = 292,094.40 : x
  2. Step 2: Convert to fraction form
    651,953.10/978,164.55 = 292,094.40/x
  3. Step 3: Cross multiply
    651,953.10x = 978,164.55 × 292,094.40
  4. Step 4: Simplify right side
    651,953.10x = 285,716,387,333.52
  5. Step 5: Solve for x
    x = 285,716,387,333.52/651,953.10
  6. Step 6: Final answer
    x = 438,246.84

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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.