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Finding the Fourth Proportional to 307,729.04, 461,547.33 and 97,339.64

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Solution

The fourth proportional to 307,729.04, 461,547.33 and 97,339.64 is: 145,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,729.04 : 461,547.33 = 97,339.64 : x
  2. Step 2: Convert to fraction form
    307,729.04/461,547.33 = 97,339.64/x
  3. Step 3: Cross multiply
    307,729.04x = 461,547.33 × 97,339.64
  4. Step 4: Simplify right side
    307,729.04x = 44,926,850,945.16
  5. Step 5: Solve for x
    x = 44,926,850,945.16/307,729.04
  6. Step 6: Final answer
    x = 145,994.84

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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.