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Finding the Fourth Proportional to 507,696.16, 700,395.64 and 292,784.80

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Solution

The fourth proportional to 507,696.16, 700,395.64 and 292,784.80 is: 403,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,696.16 : 700,395.64 = 292,784.80 : x
  2. Step 2: Convert to fraction form
    507,696.16/700,395.64 = 292,784.80/x
  3. Step 3: Cross multiply
    507,696.16x = 700,395.64 × 292,784.80
  4. Step 4: Simplify right side
    507,696.16x = 205,065,197,378.27
  5. Step 5: Solve for x
    x = 205,065,197,378.27/507,696.16
  6. Step 6: Final answer
    x = 403,913.23

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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.