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Finding the Fourth Proportional to 255,864.40, 357,743.60 and 255,864.40

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Solution

The fourth proportional to 255,864.40, 357,743.60 and 255,864.40 is: 357,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,864.40 : 357,743.60 = 255,864.40 : x
  2. Step 2: Convert to fraction form
    255,864.40/357,743.60 = 255,864.40/x
  3. Step 3: Cross multiply
    255,864.40x = 357,743.60 × 255,864.40
  4. Step 4: Simplify right side
    255,864.40x = 91,533,851,567.84
  5. Step 5: Solve for x
    x = 91,533,851,567.84/255,864.40
  6. Step 6: Final answer
    x = 357,743.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.