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Finding the Fourth Proportional to 416,858.16, 575,274.88 and 255,802.16

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Solution

The fourth proportional to 416,858.16, 575,274.88 and 255,802.16 is: 353,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,858.16 : 575,274.88 = 255,802.16 : x
  2. Step 2: Convert to fraction form
    416,858.16/575,274.88 = 255,802.16/x
  3. Step 3: Cross multiply
    416,858.16x = 575,274.88 × 255,802.16
  4. Step 4: Simplify right side
    416,858.16x = 147,156,556,897.74
  5. Step 5: Solve for x
    x = 147,156,556,897.74/416,858.16
  6. Step 6: Final answer
    x = 353,013.50

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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.