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Finding the Fourth Proportional to 464,205.60, 696,308.40 and 148,694.40

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Solution

The fourth proportional to 464,205.60, 696,308.40 and 148,694.40 is: 223,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,205.60 : 696,308.40 = 148,694.40 : x
  2. Step 2: Convert to fraction form
    464,205.60/696,308.40 = 148,694.40/x
  3. Step 3: Cross multiply
    464,205.60x = 696,308.40 × 148,694.40
  4. Step 4: Simplify right side
    464,205.60x = 103,537,159,752.96
  5. Step 5: Solve for x
    x = 103,537,159,752.96/464,205.60
  6. Step 6: Final answer
    x = 223,041.60

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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.