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Finding the Fourth Proportional to 314,807.85, 434,435.40 and 171,567.81

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Solution

The fourth proportional to 314,807.85, 434,435.40 and 171,567.81 is: 236,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,807.85 : 434,435.40 = 171,567.81 : x
  2. Step 2: Convert to fraction form
    314,807.85/434,435.40 = 171,567.81/x
  3. Step 3: Cross multiply
    314,807.85x = 434,435.40 × 171,567.81
  4. Step 4: Simplify right side
    314,807.85x = 74,535,130,164.47
  5. Step 5: Solve for x
    x = 74,535,130,164.47/314,807.85
  6. Step 6: Final answer
    x = 236,763.89

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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.