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Finding the Fourth Proportional to 702,075.54, 968,470.53 and 430,275.14

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Solution

The fourth proportional to 702,075.54, 968,470.53 and 430,275.14 is: 593,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,075.54 : 968,470.53 = 430,275.14 : x
  2. Step 2: Convert to fraction form
    702,075.54/968,470.53 = 430,275.14/x
  3. Step 3: Cross multiply
    702,075.54x = 968,470.53 × 430,275.14
  4. Step 4: Simplify right side
    702,075.54x = 416,708,792,881.62
  5. Step 5: Solve for x
    x = 416,708,792,881.62/702,075.54
  6. Step 6: Final answer
    x = 593,538.40

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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.