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Finding the Fourth Proportional to 390,868.40, 586,302.60 and 292,564.40

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Solution

The fourth proportional to 390,868.40, 586,302.60 and 292,564.40 is: 438,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,868.40 : 586,302.60 = 292,564.40 : x
  2. Step 2: Convert to fraction form
    390,868.40/586,302.60 = 292,564.40/x
  3. Step 3: Cross multiply
    390,868.40x = 586,302.60 × 292,564.40
  4. Step 4: Simplify right side
    390,868.40x = 171,531,268,387.44
  5. Step 5: Solve for x
    x = 171,531,268,387.44/390,868.40
  6. Step 6: Final answer
    x = 438,846.60

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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.