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Finding the Fourth Proportional to 565,509.04, 780,382.68 and 310,858.40

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Solution

The fourth proportional to 565,509.04, 780,382.68 and 310,858.40 is: 428,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,509.04 : 780,382.68 = 310,858.40 : x
  2. Step 2: Convert to fraction form
    565,509.04/780,382.68 = 310,858.40/x
  3. Step 3: Cross multiply
    565,509.04x = 780,382.68 × 310,858.40
  4. Step 4: Simplify right side
    565,509.04x = 242,588,511,292.51
  5. Step 5: Solve for x
    x = 242,588,511,292.51/565,509.04
  6. Step 6: Final answer
    x = 428,973.71

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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.