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Finding the Fourth Proportional to 464,007.40, 695,492.70 and 197,722.60

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Solution

The fourth proportional to 464,007.40, 695,492.70 and 197,722.60 is: 296,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,007.40 : 695,492.70 = 197,722.60 : x
  2. Step 2: Convert to fraction form
    464,007.40/695,492.70 = 197,722.60/x
  3. Step 3: Cross multiply
    464,007.40x = 695,492.70 × 197,722.60
  4. Step 4: Simplify right side
    464,007.40x = 137,514,624,925.02
  5. Step 5: Solve for x
    x = 137,514,624,925.02/464,007.40
  6. Step 6: Final answer
    x = 296,363.00

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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.