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Finding the Fourth Proportional to 472,088.81, 651,482.64 and 257,228.91

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Solution

The fourth proportional to 472,088.81, 651,482.64 and 257,228.91 is: 354,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,088.81 : 651,482.64 = 257,228.91 : x
  2. Step 2: Convert to fraction form
    472,088.81/651,482.64 = 257,228.91/x
  3. Step 3: Cross multiply
    472,088.81x = 651,482.64 × 257,228.91
  4. Step 4: Simplify right side
    472,088.81x = 167,580,169,371.12
  5. Step 5: Solve for x
    x = 167,580,169,371.12/472,088.81
  6. Step 6: Final answer
    x = 354,975.94

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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.