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Finding the Fourth Proportional to 301,854.18, 416,534.40 and 174,538.02

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Solution

The fourth proportional to 301,854.18, 416,534.40 and 174,538.02 is: 240,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,854.18 : 416,534.40 = 174,538.02 : x
  2. Step 2: Convert to fraction form
    301,854.18/416,534.40 = 174,538.02/x
  3. Step 3: Cross multiply
    301,854.18x = 416,534.40 × 174,538.02
  4. Step 4: Simplify right side
    301,854.18x = 72,701,089,437.89
  5. Step 5: Solve for x
    x = 72,701,089,437.89/301,854.18
  6. Step 6: Final answer
    x = 240,848.38

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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.