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Finding the Fourth Proportional to 417,106.40, 575,938.16 and 385,263.84

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Solution

The fourth proportional to 417,106.40, 575,938.16 and 385,263.84 is: 531,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,106.40 : 575,938.16 = 385,263.84 : x
  2. Step 2: Convert to fraction form
    417,106.40/575,938.16 = 385,263.84/x
  3. Step 3: Cross multiply
    417,106.40x = 575,938.16 × 385,263.84
  4. Step 4: Simplify right side
    417,106.40x = 221,888,147,124.13
  5. Step 5: Solve for x
    x = 221,888,147,124.13/417,106.40
  6. Step 6: Final answer
    x = 531,970.13

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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.