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Finding the Fourth Proportional to 314,368.32, 433,829.28 and 171,129.60

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Solution

The fourth proportional to 314,368.32, 433,829.28 and 171,129.60 is: 236,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,368.32 : 433,829.28 = 171,129.60 : x
  2. Step 2: Convert to fraction form
    314,368.32/433,829.28 = 171,129.60/x
  3. Step 3: Cross multiply
    314,368.32x = 433,829.28 × 171,129.60
  4. Step 4: Simplify right side
    314,368.32x = 74,241,031,154.69
  5. Step 5: Solve for x
    x = 74,241,031,154.69/314,368.32
  6. Step 6: Final answer
    x = 236,159.39

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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.