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Finding the Fourth Proportional to 314,567.80, 434,076.88 and 176,735.93

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Solution

The fourth proportional to 314,567.80, 434,076.88 and 176,735.93 is: 243,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,567.80 : 434,076.88 = 176,735.93 : x
  2. Step 2: Convert to fraction form
    314,567.80/434,076.88 = 176,735.93/x
  3. Step 3: Cross multiply
    314,567.80x = 434,076.88 × 176,735.93
  4. Step 4: Simplify right side
    314,567.80x = 76,716,978,466.07
  5. Step 5: Solve for x
    x = 76,716,978,466.07/314,567.80
  6. Step 6: Final answer
    x = 243,880.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.