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Finding the Fourth Proportional to 556,204.94, 767,541.52 and 314,492.57

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Solution

The fourth proportional to 556,204.94, 767,541.52 and 314,492.57 is: 433,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,204.94 : 767,541.52 = 314,492.57 : x
  2. Step 2: Convert to fraction form
    556,204.94/767,541.52 = 314,492.57/x
  3. Step 3: Cross multiply
    556,204.94x = 767,541.52 × 314,492.57
  4. Step 4: Simplify right side
    556,204.94x = 241,386,105,206.51
  5. Step 5: Solve for x
    x = 241,386,105,206.51/556,204.94
  6. Step 6: Final answer
    x = 433,987.70

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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.