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Finding the Fourth Proportional to 314,383.93, 470,127.32 and 233,483.72

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Solution

The fourth proportional to 314,383.93, 470,127.32 and 233,483.72 is: 349,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,383.93 : 470,127.32 = 233,483.72 : x
  2. Step 2: Convert to fraction form
    314,383.93/470,127.32 = 233,483.72/x
  3. Step 3: Cross multiply
    314,383.93x = 470,127.32 × 233,483.72
  4. Step 4: Simplify right side
    314,383.93x = 109,767,075,547.23
  5. Step 5: Solve for x
    x = 109,767,075,547.23/314,383.93
  6. Step 6: Final answer
    x = 349,149.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.