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Finding the Fourth Proportional to 768,133, 1,151,831.46 and 362,988.04

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Solution

The fourth proportional to 768,133, 1,151,831.46 and 362,988.04 is: 544,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,133 : 1,151,831.46 = 362,988.04 : x
  2. Step 2: Convert to fraction form
    768,133/1,151,831.46 = 362,988.04/x
  3. Step 3: Cross multiply
    768,133x = 1,151,831.46 × 362,988.04
  4. Step 4: Simplify right side
    768,133x = 418,101,044,075.74
  5. Step 5: Solve for x
    x = 418,101,044,075.74/768,133
  6. Step 6: Final answer
    x = 544,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.