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Finding the Fourth Proportional to 461,776.02, 637,244.88 and 257,830.42

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Solution

The fourth proportional to 461,776.02, 637,244.88 and 257,830.42 is: 355,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,776.02 : 637,244.88 = 257,830.42 : x
  2. Step 2: Convert to fraction form
    461,776.02/637,244.88 = 257,830.42/x
  3. Step 3: Cross multiply
    461,776.02x = 637,244.88 × 257,830.42
  4. Step 4: Simplify right side
    461,776.02x = 164,301,111,696.72
  5. Step 5: Solve for x
    x = 164,301,111,696.72/461,776.02
  6. Step 6: Final answer
    x = 355,802.60

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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.