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Finding the Fourth Proportional to 459,868.19, 634,075.29 and 314,744.00

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Solution

The fourth proportional to 459,868.19, 634,075.29 and 314,744.00 is: 433,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,868.19 : 634,075.29 = 314,744.00 : x
  2. Step 2: Convert to fraction form
    459,868.19/634,075.29 = 314,744.00/x
  3. Step 3: Cross multiply
    459,868.19x = 634,075.29 × 314,744.00
  4. Step 4: Simplify right side
    459,868.19x = 199,571,389,905.38
  5. Step 5: Solve for x
    x = 199,571,389,905.38/459,868.19
  6. Step 6: Final answer
    x = 433,975.21

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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.