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Finding the Fourth Proportional to 556,210.70, 767,585.88 and 314,529.43

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Solution

The fourth proportional to 556,210.70, 767,585.88 and 314,529.43 is: 434,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,210.70 : 767,585.88 = 314,529.43 : x
  2. Step 2: Convert to fraction form
    556,210.70/767,585.88 = 314,529.43/x
  3. Step 3: Cross multiply
    556,210.70x = 767,585.88 × 314,529.43
  4. Step 4: Simplify right side
    556,210.70x = 241,428,349,312.45
  5. Step 5: Solve for x
    x = 241,428,349,312.45/556,210.70
  6. Step 6: Final answer
    x = 434,059.16

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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.