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Finding the Fourth Proportional to 260,465.40, 390,870.90 and 148,145.40

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Solution

The fourth proportional to 260,465.40, 390,870.90 and 148,145.40 is: 222,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,465.40 : 390,870.90 = 148,145.40 : x
  2. Step 2: Convert to fraction form
    260,465.40/390,870.90 = 148,145.40/x
  3. Step 3: Cross multiply
    260,465.40x = 390,870.90 × 148,145.40
  4. Step 4: Simplify right side
    260,465.40x = 57,905,725,828.86
  5. Step 5: Solve for x
    x = 57,905,725,828.86/260,465.40
  6. Step 6: Final answer
    x = 222,316.38

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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.