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Finding the Fourth Proportional to 4,602,242.25, 6,904,359.90 and 1,762,354.53

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Solution

The fourth proportional to 4,602,242.25, 6,904,359.90 and 1,762,354.53 is: 2,643,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,242.25 : 6,904,359.90 = 1,762,354.53 : x
  2. Step 2: Convert to fraction form
    4,602,242.25/6,904,359.90 = 1,762,354.53/x
  3. Step 3: Cross multiply
    4,602,242.25x = 6,904,359.90 × 1,762,354.53
  4. Step 4: Simplify right side
    4,602,242.25x = 12,167,929,946,515.35
  5. Step 5: Solve for x
    x = 12,167,929,946,515.35/4,602,242.25
  6. Step 6: Final answer
    x = 2,643,913.40

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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.