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Finding the Fourth Proportional to 686,477.40, 947,362.53 and 414,491.13

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Solution

The fourth proportional to 686,477.40, 947,362.53 and 414,491.13 is: 572,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,477.40 : 947,362.53 = 414,491.13 : x
  2. Step 2: Convert to fraction form
    686,477.40/947,362.53 = 414,491.13/x
  3. Step 3: Cross multiply
    686,477.40x = 947,362.53 × 414,491.13
  4. Step 4: Simplify right side
    686,477.40x = 392,673,365,579.36
  5. Step 5: Solve for x
    x = 392,673,365,579.36/686,477.40
  6. Step 6: Final answer
    x = 572,012.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.