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Finding the Fourth Proportional to 492,106.40, 738,159.60 and 429,898.40

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Solution

The fourth proportional to 492,106.40, 738,159.60 and 429,898.40 is: 644,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,106.40 : 738,159.60 = 429,898.40 : x
  2. Step 2: Convert to fraction form
    492,106.40/738,159.60 = 429,898.40/x
  3. Step 3: Cross multiply
    492,106.40x = 738,159.60 × 429,898.40
  4. Step 4: Simplify right side
    492,106.40x = 317,333,630,984.64
  5. Step 5: Solve for x
    x = 317,333,630,984.64/492,106.40
  6. Step 6: Final answer
    x = 644,847.60

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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.