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Finding the Fourth Proportional to 525,442.80, 788,164.20 and 314,972.40

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Solution

The fourth proportional to 525,442.80, 788,164.20 and 314,972.40 is: 472,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,442.80 : 788,164.20 = 314,972.40 : x
  2. Step 2: Convert to fraction form
    525,442.80/788,164.20 = 314,972.40/x
  3. Step 3: Cross multiply
    525,442.80x = 788,164.20 × 314,972.40
  4. Step 4: Simplify right side
    525,442.80x = 248,249,969,668.08
  5. Step 5: Solve for x
    x = 248,249,969,668.08/525,442.80
  6. Step 6: Final answer
    x = 472,458.60

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1.5x scale

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.